Pith Number

pith:4NB4SJW2

pith:2013:4NB4SJW26BALSOGYBM5WWWQB65

not attested not anchored not stored refs pending

Single Past Null Geodesic in the Lemaitre-Tolman-Bondi Cosmology

Felipe A. M. G. Nogueira (Observatorio do Valongo, Universidade Federal do Rio de Janeiro)

arxiv:1312.5005 v1 · 2013-12-17 · 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{4NB4SJW26BALSOGYBM5WWWQB65}

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	2026-05-18T03:04:16.600205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e343c926daf040b938d80b3b6b5a01f7755692726643bb3e6cb30d6e94d02b94

Aliases

arxiv: 1312.5005 · arxiv_version: 1312.5005v1 · doi: 10.48550/arxiv.1312.5005 · pith_short_12: 4NB4SJW26BAL · pith_short_16: 4NB4SJW26BALSOGY · pith_short_8: 4NB4SJW2

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/4NB4SJW26BALSOGYBM5WWWQB65 \
  | 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: e343c926daf040b938d80b3b6b5a01f7755692726643bb3e6cb30d6e94d02b94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be47e857741f48e777fde6fd998a50cb8dc77b4125ca678e28cbf167dca8015d",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-12-17T23:49:10Z",
    "title_canon_sha256": "0d9b9ae163d6d8d7c4d0cb941aaac91e9cdd5315115fdbdc3fc32877c6c0315f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5005",
    "kind": "arxiv",
    "version": 1
  }
}