Pith Number

pith:AYOJ3ZOT

pith:2025:AYOJ3ZOTGRU7G5TF5UYVNAMBG5

not attested not anchored not stored refs pending

The rank two Jacobi algebra

Alexei Zhedanov, Luc Vinet, Nicolas Crampe, Satoshi Tsujimoto

arxiv:2507.07766 v1 · 2025-07-10 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYOJ3ZOTGRU7G5TF5UYVNAMBG5}

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	2026-07-05T11:35:04.731857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

061c9de5d33469f37665ed31568181374c917ea0559d7b817e81c828708a93da

Aliases

arxiv: 2507.07766 · arxiv_version: 2507.07766v1 · doi: 10.48550/arxiv.2507.07766 · pith_short_12: AYOJ3ZOTGRU7 · pith_short_16: AYOJ3ZOTGRU7G5TF · pith_short_8: AYOJ3ZOT

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/AYOJ3ZOTGRU7G5TF5UYVNAMBG5 \
  | 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: 061c9de5d33469f37665ed31568181374c917ea0559d7b817e81c828708a93da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e57bdc056c9f028729f91415990671b4be60e718b98f7357d5ef3c4a8e214da",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-07-10T13:46:30Z",
    "title_canon_sha256": "75d3e518ec1231a385866c3c9aa6092bce377ce5495374199687b8bcf4e64060"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07766",
    "kind": "arxiv",
    "version": 1
  }
}