Pith Number

pith:PGW6TSYN

pith:2011:PGW6TSYNMCUCLCST5R243EHFHP

not attested not anchored not stored refs pending

Cosmological expansion and local systems: a Lema\^{i}tre-Tolman-Bondi model

Ivana Bochicchio, Valerio Faraoni

arxiv:1111.5266 v3 · 2011-11-22 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGW6TSYNMCUCLCST5R243EHFHP}

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	2026-05-18T03:37:05.702868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79ade9cb0d60a8258a53ec75cd90e53be855ffa02d8acad3e51a0f38860176c1

Aliases

arxiv: 1111.5266 · arxiv_version: 1111.5266v3 · doi: 10.48550/arxiv.1111.5266 · pith_short_12: PGW6TSYNMCUC · pith_short_16: PGW6TSYNMCUCLCST · pith_short_8: PGW6TSYN

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/PGW6TSYNMCUCLCST5R243EHFHP \
  | 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: 79ade9cb0d60a8258a53ec75cd90e53be855ffa02d8acad3e51a0f38860176c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38a6d96131bcd62a403a37ae9ce64b46798823bdca8fd398b52afe605d0feb5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-11-22T17:59:27Z",
    "title_canon_sha256": "844764edd1718956c3a1f9b1b393b056b3fa2e3e9c5d01063f9ad01e3cb62ba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5266",
    "kind": "arxiv",
    "version": 3
  }
}