Pith Number

pith:Q44KQHXF

pith:2013:Q44KQHXFB3RULHKR5RGWQD7KGO

not attested not anchored not stored refs pending

Connected Hopf algebras and iterated Ore extensions

G. Zhuang, J.J. Zhang, K.A. Brown, S. O'Hagan

arxiv:1308.1998 v2 · 2013-08-08 · 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{Q44KQHXFB3RULHKR5RGWQD7KGO}

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	2026-05-18T02:45:49.751859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8738a81ee50ee3459d51ec4d680fea33a126d3036593c27c1f0ac7d85997d015

Aliases

arxiv: 1308.1998 · arxiv_version: 1308.1998v2 · doi: 10.48550/arxiv.1308.1998 · pith_short_12: Q44KQHXFB3RU · pith_short_16: Q44KQHXFB3RULHKR · pith_short_8: Q44KQHXF

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/Q44KQHXFB3RULHKR5RGWQD7KGO \
  | 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: 8738a81ee50ee3459d51ec4d680fea33a126d3036593c27c1f0ac7d85997d015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48b3971a91b9458e73c38e9633c917668a306f9947dbf36d9c785fe31d200b78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-08-08T23:29:06Z",
    "title_canon_sha256": "594fab7720bf2d8a9a8243ee2516b90385466b6563a5619a9e45982a4323e6e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1998",
    "kind": "arxiv",
    "version": 2
  }
}