Pith Number

pith:YXIACHAR

pith:2005:YXIACHAR3SC3BFDHILBD4CR3RQ

not attested not anchored not stored refs pending

On the discovery of Birkhoff's theorem

Finn Ravndal, Nils Voje Johansen

arxiv:physics/0508163 v2 · 2005-08-22 · physics.hist-ph · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXIACHAR3SC3BFDHILBD4CR3RQ}

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.

Cited by

2 papers in Pith

Spherically symmetric, asymptotically flat Berwald vacuum solutions in Finsler gravity

Scattering from compact objects: Debye series and Regge-Debye poles

Receipt and verification

First computed	2026-07-04T14:48:42.025234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5d0011c11dc85b0946742c23e0a3b8c27b9d3e3e8dacd0b7f6cde1af17e890b

Aliases

arxiv: physics/0508163 · arxiv_version: physics/0508163v2 · doi: 10.48550/arxiv.physics/0508163 · pith_short_12: YXIACHAR3SC3 · pith_short_16: YXIACHAR3SC3BFDH · pith_short_8: YXIACHAR

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/YXIACHAR3SC3BFDHILBD4CR3RQ \
  | 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: c5d0011c11dc85b0946742c23e0a3b8c27b9d3e3e8dacd0b7f6cde1af17e890b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67b1712cc5060f234ec7fb4cb14ab0867b19d4208d026b76d0cb4386e3e662c2",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2005-08-22T20:29:55Z",
    "title_canon_sha256": "1484be60e63505615d0196c38da83b1fb23e45f305ac59c4914e8937caffe707"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0508163",
    "kind": "arxiv",
    "version": 2
  }
}