Pith Number

pith:LWVCK6JG

pith:2013:LWVCK6JGPLC5TNHCFK7XMKMISW

not attested not anchored not stored refs pending

Cofree Hopf algebras on Hopf bimodule algebras

Run-Qiang Jian, Xin Fang

arxiv:1307.1545 v1 · 2013-07-05 · 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{LWVCK6JGPLC5TNHCFK7XMKMISW}

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	2026-05-18T02:17:43.282163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5daa2579267ac5d9b4e22abf7629889585625c87e52fae56d21baeb35884000e

Aliases

arxiv: 1307.1545 · arxiv_version: 1307.1545v1 · doi: 10.48550/arxiv.1307.1545 · pith_short_12: LWVCK6JGPLC5 · pith_short_16: LWVCK6JGPLC5TNHC · pith_short_8: LWVCK6JG

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/LWVCK6JGPLC5TNHCFK7XMKMISW \
  | 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: 5daa2579267ac5d9b4e22abf7629889585625c87e52fae56d21baeb35884000e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2be733207214bdb2a1a67a8d573f37511371f76a34371128ae5e99de84e3bac7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-07-05T08:27:38Z",
    "title_canon_sha256": "23310a0153e8c7811d9f6f59df401ca7138c36c70eab8270a860ea9f1c5006aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1545",
    "kind": "arxiv",
    "version": 1
  }
}