Pith Number

pith:MS2JRHKX

pith:2008:MS2JRHKXTCNYQ3SXBZO2BZEB5W

not attested not anchored not stored refs pending

Collective neutrino oscillations in non-spherical geometry

Alessandro Mirizzi (Munich, Amol Dighe (Tata Inst., Basudeb Dasgupta, Georg G. Raffelt (Max Planck Inst., Italy), Max Planck Inst. & INFN, Mumbai), Munich)

arxiv:0805.3300 v1 · 2008-05-21 · hep-ph · astro-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MS2JRHKXTCNYQ3SXBZO2BZEB5W}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-04T15:30:10.645539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64b4989d57989b886e570e5da0e481edb671e4169aa289e6b6f7454d5dbd291d

Aliases

arxiv: 0805.3300 · arxiv_version: 0805.3300v1 · doi: 10.48550/arxiv.0805.3300 · pith_short_12: MS2JRHKXTCNY · pith_short_16: MS2JRHKXTCNYQ3SX · pith_short_8: MS2JRHKX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MS2JRHKXTCNYQ3SXBZO2BZEB5W \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 64b4989d57989b886e570e5da0e481edb671e4169aa289e6b6f7454d5dbd291d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0faab364cec1711e3709acaa27aa3de37d9c8a24ab3b0595a9f8cc3ac3a840c2",
    "cross_cats_sorted": [
      "astro-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2008-05-21T17:52:40Z",
    "title_canon_sha256": "48d844af042ed74c59dc65eb5f9adc38174dee8b882249833a6f82c9a6f0c7b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.3300",
    "kind": "arxiv",
    "version": 1
  }
}