Pith Number

pith:4QNRXCGL

pith:2007:4QNRXCGLRTOBJ5XSGCQBGE5CKW

not attested not anchored not stored refs pending

Expressions of algebra elements and transcendental noncommutative calculus

Akira Yoshioka, Hideki Omori, Naoya Miyazaki, Yoshiaki Maeda

arxiv:0711.2608 v2 · 2007-11-16 · 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{4QNRXCGLRTOBJ5XSGCQBGE5CKW}

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	2026-05-18T00:37:23.801364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e41b1b88cb8cdc14f6f230a01313a255b0e823436f93f30abccabfff57b61fcb

Aliases

arxiv: 0711.2608 · arxiv_version: 0711.2608v2 · doi: 10.48550/arxiv.0711.2608 · pith_short_12: 4QNRXCGLRTOB · pith_short_16: 4QNRXCGLRTOBJ5XS · pith_short_8: 4QNRXCGL

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/4QNRXCGLRTOBJ5XSGCQBGE5CKW \
  | 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: e41b1b88cb8cdc14f6f230a01313a255b0e823436f93f30abccabfff57b61fcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0996c3751f1978adb186e1d2530b1afaa9305e82bf1d25bc3006da32e96e506",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2007-11-16T13:07:21Z",
    "title_canon_sha256": "1fa659a302bf80fd053e554a0459699e5926b3d3f13fecdf39ffe0945977583e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2608",
    "kind": "arxiv",
    "version": 2
  }
}