Pith Number

pith:PDF3CKXA

pith:2000:PDF3CKXAJ5GU3YWEI3VQ2CJ5KX

not attested not anchored not stored refs pending

Gauge invariance of complex general relativity

Jose David Vergara, Merced Montesinos

arxiv:gr-qc/0010113 v1 · 2000-10-31 · 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{PDF3CKXAJ5GU3YWEI3VQ2CJ5KX}

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	2026-05-18T01:39:24.565078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78cbb12ae04f4d4de2c446eb0d093d55c83f4cf2b472c2753a98af91114b1e14

Aliases

arxiv: gr-qc/0010113 · arxiv_version: gr-qc/0010113v1 · doi: 10.48550/arxiv.gr-qc/0010113 · pith_short_12: PDF3CKXAJ5GU · pith_short_16: PDF3CKXAJ5GU3YWE · pith_short_8: PDF3CKXA

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/PDF3CKXAJ5GU3YWEI3VQ2CJ5KX \
  | 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: 78cbb12ae04f4d4de2c446eb0d093d55c83f4cf2b472c2753a98af91114b1e14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b3d565d14f93d81471a8504a0cf3f87c515bfc1e67f4b75fe4e134e959cd76e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-10-31T17:03:18Z",
    "title_canon_sha256": "7b5474201503b8a717953d2a6930c6509886ae7ac2026ea4592cbb9201ee1c04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0010113",
    "kind": "arxiv",
    "version": 1
  }
}