Pith Number

pith:F2UITRNJ

pith:2015:F2UITRNJBU5G6GAYM25Y5H6QVP

not attested not anchored not stored refs pending

A category of multiplier bimonoids

Gabriella B\"ohm, Stephen Lack

arxiv:1509.07171 v1 · 2015-09-23 · 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{F2UITRNJBU5G6GAYM25Y5H6QVP}

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	2026-05-17T23:41:28.135161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ea889c5a90d3a6f181866bb8e9fd0abc15f1b50352478a9c0d2e9d0fb4c97d0

Aliases

arxiv: 1509.07171 · arxiv_version: 1509.07171v1 · doi: 10.48550/arxiv.1509.07171 · pith_short_12: F2UITRNJBU5G · pith_short_16: F2UITRNJBU5G6GAY · pith_short_8: F2UITRNJ

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/F2UITRNJBU5G6GAYM25Y5H6QVP \
  | 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: 2ea889c5a90d3a6f181866bb8e9fd0abc15f1b50352478a9c0d2e9d0fb4c97d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae0b88d646ffbc016f845ae7e489ac0bf47c10d50402c77ad88fa152f88b9440",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-09-23T22:23:25Z",
    "title_canon_sha256": "93c1d16fb6f887e6bee1f915d0f8739aeddbeb9ed9ef983e8c5a1ca26d3badc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07171",
    "kind": "arxiv",
    "version": 1
  }
}