Pith Number

pith:GQBSEBDA

pith:2008:GQBSEBDA6ZXMTOKDNDO3N2PNQC

not attested not anchored not stored refs pending

QCD radiative correction to pair-annihilation of spin-1 bosonic Dark Matter

Jae Ho Heo

arxiv:0807.2459 v4 · 2008-07-15 · hep-ph · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQBSEBDA6ZXMTOKDNDO3N2PNQC}

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	2026-07-04T15:37:23.510823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3403220460f66ec9b94368ddb6e9ed80a69748d82f4b1f5432c5fc01dbeabf73

Aliases

arxiv: 0807.2459 · arxiv_version: 0807.2459v4 · doi: 10.48550/arxiv.0807.2459 · pith_short_12: GQBSEBDA6ZXM · pith_short_16: GQBSEBDA6ZXMTOKD · pith_short_8: GQBSEBDA

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/GQBSEBDA6ZXMTOKDNDO3N2PNQC \
  | 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: 3403220460f66ec9b94368ddb6e9ed80a69748d82f4b1f5432c5fc01dbeabf73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cf460d00ca92606f6e0f079312b3d5ec0356879e4eb3951719663bcdc9b1c01",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2008-07-15T21:04:37Z",
    "title_canon_sha256": "4613cebfd9fedb182e2edf86f37c9920d6f70b6a544b67393f0894bc009f43df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2459",
    "kind": "arxiv",
    "version": 4
  }
}