Pith Number

pith:MGX2W6GS

pith:1994:MGX2W6GSNY7EG3OHVM4JTFE3FB

not attested not anchored not stored refs pending

The Birkhoff Theorem in Multidimensional Gravity

K.A.Bronnikov, V.N.Melnikov

arxiv:gr-qc/9403063 v1 · 1994-03-31 · 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{MGX2W6GSNY7EG3OHVM4JTFE3FB}

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

1 paper in Pith

A Note on Chaos in Hayward Black Holes with String Fluids

Receipt and verification

First computed	2026-05-18T01:06:45.242483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61afab78d26e3e436dc7ab3899949b28780538e7eaef039ffd50bb258b313efc

Aliases

arxiv: gr-qc/9403063 · arxiv_version: gr-qc/9403063v1 · doi: 10.48550/arxiv.gr-qc/9403063 · pith_short_12: MGX2W6GSNY7E · pith_short_16: MGX2W6GSNY7EG3OH · pith_short_8: MGX2W6GS

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/MGX2W6GSNY7EG3OHVM4JTFE3FB \
  | 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: 61afab78d26e3e436dc7ab3899949b28780538e7eaef039ffd50bb258b313efc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63891b64acae1917dda6ea7d9badfe280456db5d3e1aa34c369cfaa9f1afef5e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1994-03-31T15:31:24Z",
    "title_canon_sha256": "71e5990b144972b11fb627400a0b2d001b64f979b8e34777ea639a61329d9c75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9403063",
    "kind": "arxiv",
    "version": 1
  }
}