Pith Number

pith:NT3F42JY

pith:2013:NT3F42JYOO3WNULQIFXVM44OXZ

not attested not anchored not stored refs pending

Variations on Birkhoff's theorem

George F R Ellis, Rituparno Goswami

arxiv:1304.3253 v1 · 2013-04-11 · 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{NT3F42JYOO3WNULQIFXVM44OXZ}

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	2026-05-18T01:50:33.962252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cf65e693873b766d170416f56738ebe749c039e1ab1f458825a16d9e1d1b235

Aliases

arxiv: 1304.3253 · arxiv_version: 1304.3253v1 · doi: 10.48550/arxiv.1304.3253 · pith_short_12: NT3F42JYOO3W · pith_short_16: NT3F42JYOO3WNULQ · pith_short_8: NT3F42JY

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/NT3F42JYOO3WNULQIFXVM44OXZ \
  | 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: 6cf65e693873b766d170416f56738ebe749c039e1ab1f458825a16d9e1d1b235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ff0589cb5bac23b739587943d5c15bebd1d236611cbecec01b1b90f5a8ed46c",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-04-11T10:43:39Z",
    "title_canon_sha256": "d8d901e990ee738dd1a39293c10a2cfd43b5de492a57cc9f02ff1112745a4a9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3253",
    "kind": "arxiv",
    "version": 1
  }
}