Pith Number

pith:FASWK35D

pith:2008:FASWK35DK7OXGL7AJ2HYA626PQ

not attested not anchored not stored refs pending

A Note on B-observables in Ponzano-Regge 3d Quantum Gravity

Etera R. Livine, James P. Ryan

arxiv:0808.0025 v1 · 2008-07-31 · 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{FASWK35DK7OXGL7AJ2HYA626PQ}

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	2026-07-04T15:36:52.198303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2825656fa357dd732fe04e8f807b5e7c3d28d640223bf87d17ef8658da171e60

Aliases

arxiv: 0808.0025 · arxiv_version: 0808.0025v1 · doi: 10.48550/arxiv.0808.0025 · pith_short_12: FASWK35DK7OX · pith_short_16: FASWK35DK7OXGL7A · pith_short_8: FASWK35D

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/FASWK35DK7OXGL7AJ2HYA626PQ \
  | 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: 2825656fa357dd732fe04e8f807b5e7c3d28d640223bf87d17ef8658da171e60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "737a10ef48f5232410cda2582abf27cd4bc47c4a3189dc4656fd04c325581f6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2008-07-31T21:23:18Z",
    "title_canon_sha256": "c8c8be4bc4dce288419eeddb0de8bcf003e239543b453660cc524744b9b59812"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.0025",
    "kind": "arxiv",
    "version": 1
  }
}