Pith Number

pith:IO2CXCNW

pith:2022:IO2CXCNWQTJYCWCKZFS32PK4AS

not attested not anchored not stored refs pending

Pivotality, twisted centres and the anti-double of a Hopf monad

Sebastian Halbig, Tony Zorman

arxiv:2201.05361 v2 · 2022-01-14 · math.QA · 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{IO2CXCNWQTJYCWCKZFS32PK4AS}

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.

Cited by

1 paper in Pith

String nets for twisted pivotal categories

Receipt and verification

First computed	2026-07-05T07:40:48.563659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43b42b89b684d381584ac965bd3d5c04a908d1493a158582bf187e9eda0b4340

Aliases

arxiv: 2201.05361 · arxiv_version: 2201.05361v2 · doi: 10.48550/arxiv.2201.05361 · pith_short_12: IO2CXCNWQTJY · pith_short_16: IO2CXCNWQTJYCWCK · pith_short_8: IO2CXCNW

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/IO2CXCNWQTJYCWCKZFS32PK4AS \
  | 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: 43b42b89b684d381584ac965bd3d5c04a908d1493a158582bf187e9eda0b4340

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2f646f0c8090519a7cd270dbb6e1a2ed840f3795ad4df3910dad63534768000",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2022-01-14T09:43:36Z",
    "title_canon_sha256": "17b118377688eff5165d2c7fd13a5fb2f9e80f632860b798966b7618040e60a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.05361",
    "kind": "arxiv",
    "version": 2
  }
}