Pith Number

pith:JNK3CVDI

pith:2013:JNK3CVDIOWFF43QMLTFRKN5VLR

not attested not anchored not stored refs pending

On what does not expand in an expanding universe: a very simple model

Nivaldo A. Lemos

arxiv:1307.5818 v1 · 2013-07-22 · 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{JNK3CVDIOWFF43QMLTFRKN5VLR}

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	2026-05-18T03:17:54.476458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b55b15468758a5e6e0c5ccb1537b55c62b9a86667cb80428bfbfa34b317cdd2

Aliases

arxiv: 1307.5818 · arxiv_version: 1307.5818v1 · doi: 10.48550/arxiv.1307.5818 · pith_short_12: JNK3CVDIOWFF · pith_short_16: JNK3CVDIOWFF43QM · pith_short_8: JNK3CVDI

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/JNK3CVDIOWFF43QMLTFRKN5VLR \
  | 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: 4b55b15468758a5e6e0c5ccb1537b55c62b9a86667cb80428bfbfa34b317cdd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65a5c4f82a8ff85edf36706ae068bcea63e401edaa33113dd6109f2790dc5199",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-07-22T18:57:17Z",
    "title_canon_sha256": "d4f3a4ac02241ba960f845e5c3e2e1bbef8dbaa6d7378da75d8daf0026f00e6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5818",
    "kind": "arxiv",
    "version": 1
  }
}