Pith Number

pith:HOEWMPAO

pith:2011:HOEWMPAO6MVH7E42I2TFSASV4Y

not attested not anchored not stored refs pending

Photon Geodesics in FRW Cosmologies

Andrew Shevchuk, Fulvio Melia, Ojeh Bikwa

arxiv:1112.4774 v1 · 2011-12-20 · astro-ph.CO · gr-qc · hep-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{HOEWMPAO6MVH7E42I2TFSASV4Y}

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.

Cited by

1 paper in Pith

A Survey through Conformal Time

Receipt and verification

First computed	2026-05-18T00:05:01.063322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b89663c0ef32a7f939a46a6590255e63bb4ad61603cb5a2fd1de3bd23e676af

Aliases

arxiv: 1112.4774 · arxiv_version: 1112.4774v1 · doi: 10.48550/arxiv.1112.4774 · pith_short_12: HOEWMPAO6MVH · pith_short_16: HOEWMPAO6MVH7E42 · pith_short_8: HOEWMPAO

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/HOEWMPAO6MVH7E42I2TFSASV4Y \
  | 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: 3b89663c0ef32a7f939a46a6590255e63bb4ad61603cb5a2fd1de3bd23e676af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d97d0dccb16e41fb658eb9b246d6edebac7df787ca6c789a95b0793801281185",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-12-20T17:17:23Z",
    "title_canon_sha256": "6c24dbc5aa16c43931b66a500124a8b19ac1bf1c2a1b11e10843c95dfa18b5dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4774",
    "kind": "arxiv",
    "version": 1
  }
}