Pith Number

pith:A3ECBEME

pith:2012:A3ECBEMEN25XXOPDF3PNMKWMPH

not attested not anchored not stored refs pending

Birkhoff Theorem and Matter

George F. R. Ellis, Rituparno Goswami

arxiv:1202.0240 v1 · 2012-02-01 · gr-qc · astro-ph.CO · astro-ph.SR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3ECBEMEN25XXOPDF3PNMKWMPH}

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	2026-05-18T01:58:36.753276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06c82091846ebb7bb9e32eded62acc79d9f6a3de774ca34164aa26870862e0da

Aliases

arxiv: 1202.0240 · arxiv_version: 1202.0240v1 · doi: 10.48550/arxiv.1202.0240 · pith_short_12: A3ECBEMEN25X · pith_short_16: A3ECBEMEN25XXOPD · pith_short_8: A3ECBEME

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/A3ECBEMEN25XXOPDF3PNMKWMPH \
  | 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: 06c82091846ebb7bb9e32eded62acc79d9f6a3de774ca34164aa26870862e0da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b512485792a21c56285590b6ddf00ff97e017ca278e3e222ab381a8e72e24e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.SR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-02-01T18:45:48Z",
    "title_canon_sha256": "169f4e9a2b7f0eeb0d79fb94a39cc9c758708b652991e9d5e7f134ff068984f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0240",
    "kind": "arxiv",
    "version": 1
  }
}