Pith Number

pith:LLXJHHXO

pith:2016:LLXJHHXOFW5PBK3QHZHAEPNDLZ

not attested not anchored not stored refs pending

Orbifold Jacobian algebras for invertible polynomials

Alexey Basalaev, Atsushi Takahashi, Elisabeth Werner

arxiv:1608.08962 v1 · 2016-08-31 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLXJHHXOFW5PBK3QHZHAEPNDLZ}

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	2026-05-18T01:06:39.561939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aee939eee2dbaf0ab703e4e023da35e605ac7c752aa891a01748a4c8a60f43d

Aliases

arxiv: 1608.08962 · arxiv_version: 1608.08962v1 · doi: 10.48550/arxiv.1608.08962 · pith_short_12: LLXJHHXOFW5P · pith_short_16: LLXJHHXOFW5PBK3Q · pith_short_8: LLXJHHXO

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/LLXJHHXOFW5PBK3QHZHAEPNDLZ \
  | 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: 5aee939eee2dbaf0ab703e4e023da35e605ac7c752aa891a01748a4c8a60f43d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c512e9049bbe22a2daa73f7650b19e2dd871b3091694c7b0e26250c482a4c4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-08-31T17:41:52Z",
    "title_canon_sha256": "cd5ef260ac6dcb312add7e8670e9cff62dbb886a6df666a224c33f56c93a7dac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08962",
    "kind": "arxiv",
    "version": 1
  }
}