Pith Number

pith:T5FQ2OBO

pith:1995:T5FQ2OBOL7OICSYGNM5Z7VLDYG

not attested not anchored not stored refs pending

Direct Sum Decompositions and Indecomposable TQFT's

Stephen Sawin

arxiv:q-alg/9505026 v1 · 1995-05-23 · q-alg · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T5FQ2OBOL7OICSYGNM5Z7VLDYG}

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	2026-05-18T04:35:15.204687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f4b0d382e5fdc814b066b3b9fd563c18d0facafe5841f411c0400f463c3aaa2

Aliases

arxiv: q-alg/9505026 · arxiv_version: q-alg/9505026v1 · doi: 10.48550/arxiv.q-alg/9505026 · pith_short_12: T5FQ2OBOL7OI · pith_short_16: T5FQ2OBOL7OICSYG · pith_short_8: T5FQ2OBO

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/T5FQ2OBOL7OICSYGNM5Z7VLDYG \
  | 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: 9f4b0d382e5fdc814b066b3b9fd563c18d0facafe5841f411c0400f463c3aaa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88cdbe2196061375410c679584337d3bd7c5b6a4b8abf9f3274c72192ecda7a9",
    "cross_cats_sorted": [
      "hep-th",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1995-05-23T01:18:39Z",
    "title_canon_sha256": "d37172f20a4c4481a0652d54122e3d8ee6bfacb1111597295cbb7dfee1db4cae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9505026",
    "kind": "arxiv",
    "version": 1
  }
}