Pith Number

pith:AEX47K2C

pith:2010:AEX47K2CXBW3GQKVZX32NL3I4M

not attested not anchored not stored refs pending

Quantum deformation of two four-dimensional spin foam models

Catherine Meusburger, Winston J. Fairbairn

arxiv:1012.4784 v3 · 2010-12-21 · gr-qc · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AEX47K2CXBW3GQKVZX32NL3I4M}

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	2026-05-18T04:03:07.155851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

012fcfab42b86db34155cdf7a6af68e33e128280804b2ea0a2b65a66fad1fba2

Aliases

arxiv: 1012.4784 · arxiv_version: 1012.4784v3 · doi: 10.48550/arxiv.1012.4784 · pith_short_12: AEX47K2CXBW3 · pith_short_16: AEX47K2CXBW3GQKV · pith_short_8: AEX47K2C

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/AEX47K2CXBW3GQKVZX32NL3I4M \
  | 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: 012fcfab42b86db34155cdf7a6af68e33e128280804b2ea0a2b65a66fad1fba2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fd9ffc36aae151c087f0a595f3b1f81380717defd34531b506cc36246d14938",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-12-21T20:37:54Z",
    "title_canon_sha256": "3b743bd3a1eb8d2137101b16e83a2f6da1e3b6e1947d8ee0bfef66b14f7a1b2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4784",
    "kind": "arxiv",
    "version": 3
  }
}