Pith Number

pith:6OMVRZUJ

pith:2013:6OMVRZUJPPTFERACPCFGOWZJGC

not attested not anchored not stored refs pending

Quasi-bialgebra Structures and Torsion-free Abelian Groups

Alessandro Ardizzoni, Claudia Menini, Daniel Bulacu

arxiv:1302.2453 v1 · 2013-02-11 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6OMVRZUJPPTFERACPCFGOWZJGC}

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	2026-05-18T03:34:01.070998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f39958e6897be6524402788a675b29309cbb1f257de5e1692cb694981a8de331

Aliases

arxiv: 1302.2453 · arxiv_version: 1302.2453v1 · doi: 10.48550/arxiv.1302.2453 · pith_short_12: 6OMVRZUJPPTF · pith_short_16: 6OMVRZUJPPTFERAC · pith_short_8: 6OMVRZUJ

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/6OMVRZUJPPTFERACPCFGOWZJGC \
  | 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: f39958e6897be6524402788a675b29309cbb1f257de5e1692cb694981a8de331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6a4914f6623694b406675b23495c95d01ff133c0cc8aecc5b668da9c02f84ac",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-02-11T11:29:17Z",
    "title_canon_sha256": "2670c9cc58ae12ee3e7c6e66b623155e331a7d43900ab2e57bc9b41a24b75a41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2453",
    "kind": "arxiv",
    "version": 1
  }
}