Pith Number

pith:PG6POB3L

pith:2011:PG6POB3LSXGO3RYMM6UAFOPDA4

not attested not anchored not stored refs pending

Ideals of polynomial semirings in tropical mathematics

Louis Rowen, Zur Izhakian

arxiv:1111.6253 v1 · 2011-11-27 · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PG6POB3LSXGO3RYMM6UAFOPDA4}

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	2026-05-18T04:07:31.418226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79bcf7076b95ccedc70c67a802b9e3072ddeb80a8f3c5ecba66def8309fc7952

Aliases

arxiv: 1111.6253 · arxiv_version: 1111.6253v1 · doi: 10.48550/arxiv.1111.6253 · pith_short_12: PG6POB3LSXGO · pith_short_16: PG6POB3LSXGO3RYM · pith_short_8: PG6POB3L

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/PG6POB3LSXGO3RYMM6UAFOPDA4 \
  | 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: 79bcf7076b95ccedc70c67a802b9e3072ddeb80a8f3c5ecba66def8309fc7952

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d299704a38300a69dec3782bd8057d31966fde94469a528fdaf3925fd621d6d",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-11-27T12:58:15Z",
    "title_canon_sha256": "f1c2e84c5fd1a3d9548c6cc6ec26f3c93fcf4e1f0141d131914f2a4e9abb38f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6253",
    "kind": "arxiv",
    "version": 1
  }
}