Pith Number

pith:JAPSTJRD

pith:2012:JAPSTJRDPC5FCJ6NCKTRCUFRBV

not attested not anchored not stored refs pending

On Hopf monoids in duoidal categories

Gabriella B\"ohm, Liangyun Zhang, Yuanyuan Chen

arxiv:1212.1018 v2 · 2012-12-05 · 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{JAPSTJRDPC5FCJ6NCKTRCUFRBV}

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	2026-05-18T03:18:18.501669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

481f29a62378ba5127cd12a71150b10d55aed9f68c72777a027af9e879850ae1

Aliases

arxiv: 1212.1018 · arxiv_version: 1212.1018v2 · doi: 10.48550/arxiv.1212.1018 · pith_short_12: JAPSTJRDPC5F · pith_short_16: JAPSTJRDPC5FCJ6N · pith_short_8: JAPSTJRD

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/JAPSTJRDPC5FCJ6NCKTRCUFRBV \
  | 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: 481f29a62378ba5127cd12a71150b10d55aed9f68c72777a027af9e879850ae1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf9281a350ed987bf041e4559c21c5fe112ac2360febd2ac1bf360b2540af0fd",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-12-05T13:02:21Z",
    "title_canon_sha256": "9bf228c0435049d8b4d8546f7efd686d88effc5edf6961580e40a4e7edfa7687"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1018",
    "kind": "arxiv",
    "version": 2
  }
}