Pith Number

pith:DQN46V7N

pith:2013:DQN46V7NMVSAYEG6SMETUHXL32

not attested not anchored not stored refs pending

Comodules over weak multiplier bialgebras

Gabriella B\"ohm

arxiv:1311.2730 v2 · 2013-11-12 · 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{DQN46V7NMVSAYEG6SMETUHXL32}

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	2026-05-18T02:56:43.764061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c1bcf57ed65640c10de93093a1eebde977e2057e4073e9db952d2c08be20055

Aliases

arxiv: 1311.2730 · arxiv_version: 1311.2730v2 · doi: 10.48550/arxiv.1311.2730 · pith_short_12: DQN46V7NMVSA · pith_short_16: DQN46V7NMVSAYEG6 · pith_short_8: DQN46V7N

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/DQN46V7NMVSAYEG6SMETUHXL32 \
  | 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: 1c1bcf57ed65640c10de93093a1eebde977e2057e4073e9db952d2c08be20055

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12b8c4ed0f6e32d5cb1c4d73da79a4c0a1254acce60bf1faf0aae3b09d02d661",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-11-12T11:01:05Z",
    "title_canon_sha256": "599c2d71e19542776a9ca45eec86f11c664040992e9984e6d7da723f4f710bef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2730",
    "kind": "arxiv",
    "version": 2
  }
}