Pith Number

pith:RPJLVXMT

pith:2012:RPJLVXMTJMH7ESQPPN3XHUVXRY

not attested not anchored not stored refs pending

Hopf-Ore Extensions and Hopf Algebras of Rank One

Hui-Xiang Chen, Lan You, Zhen Wang

arxiv:1206.3943 v2 · 2012-06-18 · math.RA · 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{RPJLVXMTJMH7ESQPPN3XHUVXRY}

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	2026-05-18T02:22:30.291230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bd2badd934b0ff24a0f7b7773d2b78e1ab2713d4965148c5c87ad4400b29552

Aliases

arxiv: 1206.3943 · arxiv_version: 1206.3943v2 · doi: 10.48550/arxiv.1206.3943 · pith_short_12: RPJLVXMTJMH7 · pith_short_16: RPJLVXMTJMH7ESQP · pith_short_8: RPJLVXMT

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/RPJLVXMTJMH7ESQPPN3XHUVXRY \
  | 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: 8bd2badd934b0ff24a0f7b7773d2b78e1ab2713d4965148c5c87ad4400b29552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8d49bb657f9a4eea729f7586b722890c0979566ed6c52602cefbe4a1ba52517",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-06-18T14:05:17Z",
    "title_canon_sha256": "2ae4c7121b3e3d86a1ad790f87147a0cd26c0793ea654b6ce605d821c919a140"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3943",
    "kind": "arxiv",
    "version": 2
  }
}