Pith Number

pith:4JGFG4ZK

pith:2019:4JGFG4ZK7J2J3Y55BO7RADPOLU

not attested not anchored not stored refs pending

Commutative $\nu$-algebra and supertropical algebraic geometry

Zur Izhakian

arxiv:1901.08032 v1 · 2019-01-23 · math.AC · 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{4JGFG4ZK7J2J3Y55BO7RADPOLU}

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	2026-05-17T23:55:39.287540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e24c53732afa749de3bd0bbf100dee5d06d256d451a9715b0bd9f4db59267db8

Aliases

arxiv: 1901.08032 · arxiv_version: 1901.08032v1 · doi: 10.48550/arxiv.1901.08032 · pith_short_12: 4JGFG4ZK7J2J · pith_short_16: 4JGFG4ZK7J2J3Y55 · pith_short_8: 4JGFG4ZK

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/4JGFG4ZK7J2J3Y55BO7RADPOLU \
  | 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: e24c53732afa749de3bd0bbf100dee5d06d256d451a9715b0bd9f4db59267db8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9cd749f1394e22f940e1a82d798e2463a5fdb7c522e0d2d2b9e8cdcb7118318",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-01-23T18:13:47Z",
    "title_canon_sha256": "2103847c8aed67521fcf4d308d4d77c27ad03294c5c7b74431930d23be14bcf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08032",
    "kind": "arxiv",
    "version": 1
  }
}