Pith Number

pith:UCFUOTGH

pith:2009:UCFUOTGHJ2VQ4WIKOZ76DL3J3D

not attested not anchored not stored refs pending

Recurrence relations for spin foam vertices

Etera R. Livine, Simone Speziale, Valentin Bonzom

arxiv:0911.2204 v1 · 2009-11-11 · 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{UCFUOTGHJ2VQ4WIKOZ76DL3J3D}

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	2026-05-18T02:34:11.196572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a08b474cc74eab0e590a767fe1af69d8f0cbcaf3fb6678ba7f2add1df87ba382

Aliases

arxiv: 0911.2204 · arxiv_version: 0911.2204v1 · doi: 10.48550/arxiv.0911.2204 · pith_short_12: UCFUOTGHJ2VQ · pith_short_16: UCFUOTGHJ2VQ4WIK · pith_short_8: UCFUOTGH

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/UCFUOTGHJ2VQ4WIKOZ76DL3J3D \
  | 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: a08b474cc74eab0e590a767fe1af69d8f0cbcaf3fb6678ba7f2add1df87ba382

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61000096418f02e836774ac997b3f57577cc880b2a8d9fb41499d3134faae337",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-11-11T18:47:16Z",
    "title_canon_sha256": "6d04967ad495e582113a8a18bcb3c115612a75a420c36ae4b5a295105cb82e37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2204",
    "kind": "arxiv",
    "version": 1
  }
}