Pith Number

pith:5XHYP6RJ

pith:2012:5XHYP6RJ4KNZWTXSLVOMOBX7SD

not attested not anchored not stored refs pending

Weak Multiplier Hopf Algebras. Preliminaries, motivation and basic examples

Alfons Van Daele, Shuanhong Wang

arxiv:1210.3954 v1 · 2012-10-15 · math.RA · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5XHYP6RJ4KNZWTXSLVOMOBX7SD}

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	2026-05-18T03:43:16.603191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edcf87fa29e29b9b4ef25d5cc706ff90d6f5f41e6fd8e405a58b0cc528fa88b0

Aliases

arxiv: 1210.3954 · arxiv_version: 1210.3954v1 · doi: 10.48550/arxiv.1210.3954 · pith_short_12: 5XHYP6RJ4KNZ · pith_short_16: 5XHYP6RJ4KNZWTXS · pith_short_8: 5XHYP6RJ

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/5XHYP6RJ4KNZWTXSLVOMOBX7SD \
  | 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: edcf87fa29e29b9b4ef25d5cc706ff90d6f5f41e6fd8e405a58b0cc528fa88b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da33d60ab64f5a2eeb097a6d33f03f83319d73eef571715fd2ce52a2e44e3b51",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-10-15T09:38:09Z",
    "title_canon_sha256": "5ab05d8a59763f9fd6f2b2731f6ddeaf49692876d480c36f797eb763f0067efd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3954",
    "kind": "arxiv",
    "version": 1
  }
}