Pith Number

pith:FK4DK33J

pith:2000:FK4DK33JTAKB75HLMGBFJLLUWX

not attested not anchored not stored refs pending

Relativity without relativity

Brendan Foster (UMD), Julian Barbour (College Farm), Niall \'O Murchadha (UCC)

arxiv:gr-qc/0012089 v3 · 2000-12-21 · 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{FK4DK33JTAKB75HLMGBFJLLUWX}

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

Problem of Time and Background Independence: classical version's higher Lie Theory

Receipt and verification

First computed	2026-07-04T16:19:44.423605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ab8356f6998141ff4eb618254ad74b5e900e45afded934338549c98748cd878

Aliases

arxiv: gr-qc/0012089 · arxiv_version: gr-qc/0012089v3 · doi: 10.48550/arxiv.gr-qc/0012089 · pith_short_12: FK4DK33JTAKB · pith_short_16: FK4DK33JTAKB75HL · pith_short_8: FK4DK33J

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/FK4DK33JTAKB75HLMGBFJLLUWX \
  | 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: 2ab8356f6998141ff4eb618254ad74b5e900e45afded934338549c98748cd878

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af710464b550243c91d15725a21cfe6ee1b033d36eca3ab2ad71a863fd7041cd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-12-21T18:06:57Z",
    "title_canon_sha256": "44b6cb9d88e288b29e923b62fb868515e8ee25fba2880797050f27cec58af3fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0012089",
    "kind": "arxiv",
    "version": 3
  }
}