Pith Number

pith:4ND3YZKF

pith:2018:4ND3YZKFKUTAMB4PZUWBXFC5OH

not attested not anchored not stored refs pending

3D Topological Models and Heegaard Splitting I: Partition Function

Frank Thuillier

arxiv:1810.13280 v1 · 2018-10-31 · 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{4ND3YZKFKUTAMB4PZUWBXFC5OH}

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	2026-05-17T23:45:35.652668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e347bc6545552606078fcd2c1b945d71ef379fea296549e9daec5a7be5654f7b

Aliases

arxiv: 1810.13280 · arxiv_version: 1810.13280v1 · doi: 10.48550/arxiv.1810.13280 · pith_short_12: 4ND3YZKFKUTA · pith_short_16: 4ND3YZKFKUTAMB4P · pith_short_8: 4ND3YZKF

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/4ND3YZKFKUTAMB4PZUWBXFC5OH \
  | 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: e347bc6545552606078fcd2c1b945d71ef379fea296549e9daec5a7be5654f7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddd4f32f569f54cf5c0704801d176c3b7a26da1e0c765c2d3dc3d63c29a62550",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-10-31T13:37:27Z",
    "title_canon_sha256": "4d43b30d819ccf7cf39f23f94a170781104c400e2a347e21b4c1a46391c62602"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.13280",
    "kind": "arxiv",
    "version": 1
  }
}