Pith Number

pith:XJ6IKNVS

pith:2009:XJ6IKNVS2J6ACL5BELOY2PJPPH

not attested not anchored not stored refs pending

Holomorphic Factorization for a Quantum Tetrahedron

Etera R. Livine, Kirill Krasnov, Laurent Freidel

arxiv:0905.3627 v2 · 2009-05-22 · hep-th · gr-qc · 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{XJ6IKNVS2J6ACL5BELOY2PJPPH}

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	2026-05-18T02:24:55.663523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba7c8536b2d27c012fa122dd8d3d2f79ce5a43eec6ec98ab8e887f3c513640bf

Aliases

arxiv: 0905.3627 · arxiv_version: 0905.3627v2 · doi: 10.48550/arxiv.0905.3627 · pith_short_12: XJ6IKNVS2J6A · pith_short_16: XJ6IKNVS2J6ACL5B · pith_short_8: XJ6IKNVS

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/XJ6IKNVS2J6ACL5BELOY2PJPPH \
  | 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: ba7c8536b2d27c012fa122dd8d3d2f79ce5a43eec6ec98ab8e887f3c513640bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dcbd592a7af0ac2a1849913354acba24db1ac5fee45e97d48d62d41aa39cdc9",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-05-22T12:18:10Z",
    "title_canon_sha256": "994ba8c68b49587b0d241e8e8d6e16362029fa344024ce98c35608a27295c081"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3627",
    "kind": "arxiv",
    "version": 2
  }
}