Pith Number

pith:TSJMP6FT

pith:2016:TSJMP6FTPO5346V2L2IS46SMGY

not attested not anchored not stored refs pending

Monoidal Categories, 2-Traces, and Cyclic Cohomology

Ilya Shapiro, Masoud Khalkhali, Mohammad Hassanzadeh

arxiv:1602.05441 v2 · 2016-02-17 · math.KT · math.CT · 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{TSJMP6FTPO5346V2L2IS46SMGY}

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	2026-07-04T23:56:30.360421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c92c7f8b37bbbbe7aba5e912e7a4c360d4b8307f7c86439573cc7d9713aa76d

Aliases

arxiv: 1602.05441 · arxiv_version: 1602.05441v2 · doi: 10.48550/arxiv.1602.05441 · pith_short_12: TSJMP6FTPO53 · pith_short_16: TSJMP6FTPO5346V2 · pith_short_8: TSJMP6FT

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/TSJMP6FTPO5346V2L2IS46SMGY \
  | 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: 9c92c7f8b37bbbbe7aba5e912e7a4c360d4b8307f7c86439573cc7d9713aa76d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d91badee608b56141c0dbf6e8f57e20ca6ecdbc6009b2148a7da58723d1dd28",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-02-17T14:54:27Z",
    "title_canon_sha256": "e400573cd8ef0de8bab0b2e1e155d3fee17b376cb6c5663ab2ddc2899f7fc20b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05441",
    "kind": "arxiv",
    "version": 2
  }
}