Pith Number

pith:HH4KURPA

pith:2010:HH4KURPA3MY4BFGYFXX5TYE5AM

not attested not anchored not stored refs pending

Supertropical linear algebra

Louis Rowen, Manfred Knebusch, Zur Izhakian

arxiv:1008.0025 v1 · 2010-07-30 · 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{HH4KURPA3MY4BFGYFXX5TYE5AM}

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	2026-05-18T04:42:44.179871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39f8aa45e0db31c094d82defd9e09d0303c48c5ce1591df553a05a7ed0e4ea89

Aliases

arxiv: 1008.0025 · arxiv_version: 1008.0025v1 · doi: 10.48550/arxiv.1008.0025 · pith_short_12: HH4KURPA3MY4 · pith_short_16: HH4KURPA3MY4BFGY · pith_short_8: HH4KURPA

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/HH4KURPA3MY4BFGYFXX5TYE5AM \
  | 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: 39f8aa45e0db31c094d82defd9e09d0303c48c5ce1591df553a05a7ed0e4ea89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fa9f1c41e88cf91faa271da70933101ebffdd7b7ef5d1461c3299577698b8a9",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-07-30T22:11:33Z",
    "title_canon_sha256": "d2da62bb999377699b928664ceb4f08c5b6cf7644b72307f8fbea8d542d17f45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0025",
    "kind": "arxiv",
    "version": 1
  }
}