Pith Number

pith:3OKOOPS4

pith:2025:3OKOOPS45YYCJGQYD3NB7EO4M3

not attested not anchored not stored refs pending

Restricted (2+1)-TQFTs supported by thickened and solid tori

Danica Kosanovi\'c, Du\v{s}an {\DJ}or{\dj}evi\'c, Jovana Nikoli\'c, Zoran Petri\'c

arxiv:2505.21373 v1 · 2025-05-27 · math.GT · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3OKOOPS45YYCJGQYD3NB7EO4M3}

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	2026-07-05T11:10:40.930139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db94e73e5cee30249a181eda1f91dc66e7d7c1b139e4896b73b584f8e92fbd0b

Aliases

arxiv: 2505.21373 · arxiv_version: 2505.21373v1 · doi: 10.48550/arxiv.2505.21373 · pith_short_12: 3OKOOPS45YYC · pith_short_16: 3OKOOPS45YYCJGQY · pith_short_8: 3OKOOPS4

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/3OKOOPS45YYCJGQYD3NB7EO4M3 \
  | 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: db94e73e5cee30249a181eda1f91dc66e7d7c1b139e4896b73b584f8e92fbd0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4cf7237642ffbcfbb36890ee1ca6816f1e24d2dcb74f1feb8c40ccd74db999a",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-05-27T16:04:35Z",
    "title_canon_sha256": "88a13e922ced35422fd79438be44edba52b26afdab5b829c7f52ca5f25f28361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21373",
    "kind": "arxiv",
    "version": 1
  }
}