Pith Number

pith:J37J222B

pith:2011:J37J222BRJ44PRQHBO2FMDD23U

not attested not anchored not stored refs pending

Graphical Methods for Tannaka Duality of Weak Bialgebras and Weak Hopf Algebras in Arbitrary Braided Monoidal Categories

Micah Blake McCurdy

arxiv:1110.5542 v1 · 2011-10-25 · 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{J37J222BRJ44PRQHBO2FMDD23U}

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	2026-05-18T04:10:22.669138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4efe9d6b418a79c7c6070bb4560c7add2df67b0d9991ddae7b7a27f2b74e538b

Aliases

arxiv: 1110.5542 · arxiv_version: 1110.5542v1 · doi: 10.48550/arxiv.1110.5542 · pith_short_12: J37J222BRJ44 · pith_short_16: J37J222BRJ44PRQH · pith_short_8: J37J222B

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/J37J222BRJ44PRQHBO2FMDD23U \
  | 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: 4efe9d6b418a79c7c6070bb4560c7add2df67b0d9991ddae7b7a27f2b74e538b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92aad43683108c35d7ecbe18682b2ec4a449ab7e2ee621be5ccd422ae144a2f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-10-25T15:44:15Z",
    "title_canon_sha256": "a835f61e18dd1c102994b600027b43e4b7f507eef850ddde4d9cae4e0a16716e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5542",
    "kind": "arxiv",
    "version": 1
  }
}