Pith Number

pith:ACXIK33G

pith:2011:ACXIK33GHTNT6AHFOSVDTFLZVM

not attested not anchored not stored refs pending

Almost Birkhoff Theorem in General Relativity

George F R Ellis, Rituparno Goswami

arxiv:1101.4520 v1 · 2011-01-24 · gr-qc · 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{ACXIK33GHTNT6AHFOSVDTFLZVM}

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	2026-05-18T02:03:24.864179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00ae856f663cdb3f00e574aa399579ab2ed548a3cc60c9e5fbd38a7400ebde9d

Aliases

arxiv: 1101.4520 · arxiv_version: 1101.4520v1 · doi: 10.48550/arxiv.1101.4520 · pith_short_12: ACXIK33GHTNT · pith_short_16: ACXIK33GHTNT6AHF · pith_short_8: ACXIK33G

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/ACXIK33GHTNT6AHFOSVDTFLZVM \
  | 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: 00ae856f663cdb3f00e574aa399579ab2ed548a3cc60c9e5fbd38a7400ebde9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81ebc863ab3ca9f51a848f8a9fba52b2617d1a42db5759237931ad2612a347e1",
    "cross_cats_sorted": [
      "astro-ph.SR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-01-24T13:21:22Z",
    "title_canon_sha256": "956d8a63c8d84c82ff2e07d27a2663821067bc98330a66cec8ef0f9cf5cead05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4520",
    "kind": "arxiv",
    "version": 1
  }
}