Pith Number

pith:RX2G6DKP

pith:2009:RX2G6DKPG4YJ5OGIMP2IKGCSWH

not attested not anchored not stored refs pending

Hopf Structures on Minimal Hopf Quivers

Hua-Lin Huang, Qing Zhao, Yu Ye

arxiv:0909.1708 v1 · 2009-09-09 · 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{RX2G6DKPG4YJ5OGIMP2IKGCSWH}

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	2026-05-18T03:37:29.205572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8df46f0d4f37309eb8c863f4851852b1cfabae014b379faddf526f2837a15cc0

Aliases

arxiv: 0909.1708 · arxiv_version: 0909.1708v1 · doi: 10.48550/arxiv.0909.1708 · pith_short_12: RX2G6DKPG4YJ · pith_short_16: RX2G6DKPG4YJ5OGI · pith_short_8: RX2G6DKP

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/RX2G6DKPG4YJ5OGIMP2IKGCSWH \
  | 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: 8df46f0d4f37309eb8c863f4851852b1cfabae014b379faddf526f2837a15cc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d45253207d287473a16e2a1ce2ea9b6149a760ecbf570e40b268081d2200dd2",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-09-09T13:51:04Z",
    "title_canon_sha256": "96b3f90a7ac078ab039cac7c38c0999c0aafcedb0c28a4891d6582e027505e11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1708",
    "kind": "arxiv",
    "version": 1
  }
}