Pith Number

pith:FZQOLM2P

pith:2016:FZQOLM2PYP6HG45Q6VQIVNODRL

not attested not anchored not stored refs pending

Interacting Frobenius Algebras are Hopf

Kevin Dunne, Ross Duncan

arxiv:1601.04964 v1 · 2016-01-19 · cs.LO · math.CT · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZQOLM2PYP6HG45Q6VQIVNODRL}

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	2026-05-18T01:22:31.454633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e60e5b34fc3fc7373b0f5608ab5c38ad747bede87192403a08499042e183b6f

Aliases

arxiv: 1601.04964 · arxiv_version: 1601.04964v1 · doi: 10.48550/arxiv.1601.04964 · pith_short_12: FZQOLM2PYP6H · pith_short_16: FZQOLM2PYP6HG45Q · pith_short_8: FZQOLM2P

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/FZQOLM2PYP6HG45Q6VQIVNODRL \
  | 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: 2e60e5b34fc3fc7373b0f5608ab5c38ad747bede87192403a08499042e183b6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffb5ea2605494792875dd403143f1bc9df6bdf1c4ef83b8e8c61f9c28dba6c33",
    "cross_cats_sorted": [
      "math.CT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-01-19T15:53:33Z",
    "title_canon_sha256": "215f375935daad3faf6d07467b3c12eedb79411f76318c44c669a7e7d55cc75b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04964",
    "kind": "arxiv",
    "version": 1
  }
}