Pith Number

pith:O2CU6XFV

pith:2021:O2CU6XFV4VXJGNMB4PKSBWQX7L

not attested not anchored not stored refs pending

A new analytical approximation of luminosity distance by optimal HPM-Pad\'e technique

Bo Yu, Jian-Chen Zhang, Tingting Zhang, Tong-Jie Zhang

arxiv:2101.05276 v1 · 2021-01-13 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2CU6XFV4VXJGNMB4PKSBWQX7L}

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	2026-07-05T02:07:55.272704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76854f5cb5e56e933581e3d520da17faf8aa635b589414fe90cf8aea34c89b3c

Aliases

arxiv: 2101.05276 · arxiv_version: 2101.05276v1 · doi: 10.48550/arxiv.2101.05276 · pith_short_12: O2CU6XFV4VXJ · pith_short_16: O2CU6XFV4VXJGNMB · pith_short_8: O2CU6XFV

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/O2CU6XFV4VXJGNMB4PKSBWQX7L \
  | 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: 76854f5cb5e56e933581e3d520da17faf8aa635b589414fe90cf8aea34c89b3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a826396cec5afb752451c630818cf3d4f1b83f61f660048fc60561ee494b704",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-01-13T12:18:38Z",
    "title_canon_sha256": "1cf32b09d414d99f1a3f00e11e68fe0c41dc016740299d138d672a690d746095"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.05276",
    "kind": "arxiv",
    "version": 1
  }
}