Pith Number

pith:Z73XHGTW

pith:2009:Z73XHGTWSG3KRR3TKLAYLNQG6Y

not attested not anchored not stored refs pending

$O$-operators on associative algebras and associative Yang-Baxter equations

Chengming Bai, Li Guo, Xiang Ni

arxiv:0910.3261 v1 · 2009-10-17 · math.RA · math-ph · math.CT · math.MP · 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{Z73XHGTWSG3KRR3TKLAYLNQG6Y}

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	2026-05-18T03:34:46.702456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cff7739a7691b6a8c77352c185b606f621696e11307fe71cfeae6270c3070b7f

Aliases

arxiv: 0910.3261 · arxiv_version: 0910.3261v1 · doi: 10.48550/arxiv.0910.3261 · pith_short_12: Z73XHGTWSG3K · pith_short_16: Z73XHGTWSG3KRR3T · pith_short_8: Z73XHGTW

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/Z73XHGTWSG3KRR3TKLAYLNQG6Y \
  | 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: cff7739a7691b6a8c77352c185b606f621696e11307fe71cfeae6270c3070b7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d827c8f51eef2e3f2e964c78866d123cdf4ab7cc4114d4b31a7287ff832b466a",
    "cross_cats_sorted": [
      "math-ph",
      "math.CT",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-10-17T01:27:40Z",
    "title_canon_sha256": "8b14a568edf512bb4f956451734ff80e26fedd4511296979030d155d4eafb115"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.3261",
    "kind": "arxiv",
    "version": 1
  }
}