Pith Number

pith:BY7XRS3G

pith:2012:BY7XRS3GVCVHAUPMJXYRPJ4OVH

not attested not anchored not stored refs pending

Affine group representation formalism for four dimensional, Lorentzian, quantum gravity

Chopin Soo, Chou Ching-Yi, Eyo Ita

arxiv:1207.7263 v3 · 2012-07-30 · 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{BY7XRS3GVCVHAUPMJXYRPJ4OVH}

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	2026-05-18T03:32:19.995546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e3f78cb66a8aa7051ec4df117a78ea9c01a18877152d856f117f6a9ed39612a

Aliases

arxiv: 1207.7263 · arxiv_version: 1207.7263v3 · doi: 10.48550/arxiv.1207.7263 · pith_short_12: BY7XRS3GVCVH · pith_short_16: BY7XRS3GVCVHAUPM · pith_short_8: BY7XRS3G

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/BY7XRS3GVCVHAUPMJXYRPJ4OVH \
  | 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: 0e3f78cb66a8aa7051ec4df117a78ea9c01a18877152d856f117f6a9ed39612a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9958217fc9f9a012c40994db8844be0a96e429dac9471d3c146f5ed96179b5d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-07-30T16:54:19Z",
    "title_canon_sha256": "245dd5340859e5002f4c9f1a624c935c1dc09dead138829025bdc582370700da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7263",
    "kind": "arxiv",
    "version": 3
  }
}