Pith Number

pith:D3MH3AQT

pith:2026:D3MH3AQTYEQTAJ5WOIXSWI6EW6

not attested not anchored not stored refs pending

Non-semisimple open-closed 3d TFT

Ingo Runkel, Yilong Wang

arxiv:2608.08057 v1 · 2026-08-08 · math.QA · math-ph · math.GT · 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{D3MH3AQTYEQTAJ5WOIXSWI6EW6}

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	2026-08-11T01:21:34.058726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ed87d8213c1213027b6722f2b23c4b796af3b83099fa676c8e27bf260852cdd

Aliases

arxiv: 2608.08057 · arxiv_version: 2608.08057v1 · doi: 10.48550/arxiv.2608.08057 · pith_short_12: D3MH3AQTYEQT · pith_short_16: D3MH3AQTYEQTAJ5W · pith_short_8: D3MH3AQT

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/D3MH3AQTYEQTAJ5WOIXSWI6EW6 \
  | 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: 1ed87d8213c1213027b6722f2b23c4b796af3b83099fa676c8e27bf260852cdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d48fbb35de998f5ccb67dce822c9a834526ae4b49eb44bd0c9dce01c0a1ac7",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-08-08T10:45:42Z",
    "title_canon_sha256": "ce90fbdd276bdb3e1352dbe02578f89d6b2bd4ab0499cdd53dc17be8616ab2c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08057",
    "kind": "arxiv",
    "version": 1
  }
}