Pith Number

pith:7AYA6TJU

pith:2014:7AYA6TJUXQDGLP4XJRFHVLIW6E

not attested not anchored not stored refs pending

Age Problem in Lemaitre-Tolman-Bondi Void Models

De-Zi Liu, Hao Wei, Xiao-Peng Yan

arxiv:1411.6218 v3 · 2014-11-23 · gr-qc · 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{7AYA6TJUXQDGLP4XJRFHVLIW6E}

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	2026-05-18T02:28:04.992484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8300f4d34bc0665bf974c4a7aad16f12f8a00c72e6ee045a4fed53df4d722b6

Aliases

arxiv: 1411.6218 · arxiv_version: 1411.6218v3 · doi: 10.48550/arxiv.1411.6218 · pith_short_12: 7AYA6TJUXQDG · pith_short_16: 7AYA6TJUXQDGLP4X · pith_short_8: 7AYA6TJU

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/7AYA6TJUXQDGLP4XJRFHVLIW6E \
  | 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: f8300f4d34bc0665bf974c4a7aad16f12f8a00c72e6ee045a4fed53df4d722b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "136affb0c269eced9241d2d1b467f34537f3c1f952f5c7d2397f5e22f7526b4c",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-11-23T10:00:00Z",
    "title_canon_sha256": "c9e3346e5162670a828e10bab66450e2b9ce75594a698a9d3a0ad3365420698e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6218",
    "kind": "arxiv",
    "version": 3
  }
}