Pith Number

pith:5PHIOHMP

pith:2000:5PHIOHMPRBYOZ2GFEMH3EVN63H

not attested not anchored not stored refs pending

The Geometry of the Frame Bundle over Spacetime

Fredrik St{\aa}hl

arxiv:gr-qc/0006049 v1 · 2000-06-13 · 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{5PHIOHMPRBYOZ2GFEMH3EVN63H}

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	2026-07-04T14:25:17.594649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebce871d8f8870ece8c5230fb255bed9c5e222cfbf36439e5148480bab63b085

Aliases

arxiv: gr-qc/0006049 · arxiv_version: gr-qc/0006049v1 · doi: 10.48550/arxiv.gr-qc/0006049 · pith_short_12: 5PHIOHMPRBYO · pith_short_16: 5PHIOHMPRBYOZ2GF · pith_short_8: 5PHIOHMP

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/5PHIOHMPRBYOZ2GFEMH3EVN63H \
  | 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: ebce871d8f8870ece8c5230fb255bed9c5e222cfbf36439e5148480bab63b085

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ef33baa9ad59d644128d4c83c0f5a15559867a39888e11676f5a7d7cb343bfe",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-06-13T21:09:35Z",
    "title_canon_sha256": "46e5789233f3d839bb695e53384ab346f34c09d13873db97b6063b5d42783cf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0006049",
    "kind": "arxiv",
    "version": 1
  }
}