Pith Number

pith:JYBO2LX3

pith:2013:JYBO2LX3LBWJV2XB6KMX2BY2A5

not attested not anchored not stored refs pending

Yetter-Drinfeld modules over weak multiplier bialgebras

Gabriella B\"ohm

arxiv:1311.3027 v1 · 2013-11-13 · 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{JYBO2LX3LBWJV2XB6KMX2BY2A5}

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	2026-05-18T03:07:13.354561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e02ed2efb586c9aeae1f2997d071a0743d6ad775a4e465a71c1736ae0a3318a

Aliases

arxiv: 1311.3027 · arxiv_version: 1311.3027v1 · doi: 10.48550/arxiv.1311.3027 · pith_short_12: JYBO2LX3LBWJ · pith_short_16: JYBO2LX3LBWJV2XB · pith_short_8: JYBO2LX3

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/JYBO2LX3LBWJV2XB6KMX2BY2A5 \
  | 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: 4e02ed2efb586c9aeae1f2997d071a0743d6ad775a4e465a71c1736ae0a3318a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14fa16ddf071ce74d4841d9e1a5dd6c73216a5632180f2dc5e3e5ef1f82ed688",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-11-13T06:42:01Z",
    "title_canon_sha256": "15d7aee4e8508b520a5af854f3ef37fd3142c10ea25176dfea60f5545aa676bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3027",
    "kind": "arxiv",
    "version": 1
  }
}