Pith Number

pith:43JYY2FL

pith:2011:43JYY2FLNM5FHGUPM36TIXZLLP

not attested not anchored not stored refs pending

The Ponzano-Regge model and parametric representation

Dan Li

arxiv:1110.5079 v2 · 2011-10-23 · 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{43JYY2FLNM5FHGUPM36TIXZLLP}

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	2026-05-18T02:00:06.699290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6d38c68ab6b3a539a8f66fd345f2b5bca94c61c8e420ba0f7211a055664a112

Aliases

arxiv: 1110.5079 · arxiv_version: 1110.5079v2 · doi: 10.48550/arxiv.1110.5079 · pith_short_12: 43JYY2FLNM5F · pith_short_16: 43JYY2FLNM5FHGUP · pith_short_8: 43JYY2FL

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/43JYY2FLNM5FHGUPM36TIXZLLP \
  | 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: e6d38c68ab6b3a539a8f66fd345f2b5bca94c61c8e420ba0f7211a055664a112

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a51c5c4c93e5023ab8ca1cbf21a4140183cd76083b4405207205003064887451",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-23T19:41:06Z",
    "title_canon_sha256": "f4fb882c9b9916793fbf08ee5f25473a226fd6c8e21f832e6d2bb7e469f82686"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5079",
    "kind": "arxiv",
    "version": 2
  }
}