Pith Number

pith:EMBVZV54

pith:2011:EMBVZV54Y3DDEWDWCYJEP5NYS4

not attested not anchored not stored refs pending

Supertropical Monoids: Basics, Canonical Factorization, and Lifting Ghosts to Tangibles

Louis Rowen, Manfred Knebusch, Zur Izhakian

arxiv:1108.1880 v1 · 2011-08-09 · 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{EMBVZV54Y3DDEWDWCYJEP5NYS4}

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	2026-05-18T04:15:58.859394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23035cd7bcc6c6325876161247f5b89709618b3eb57d26c794b580ebfb80c987

Aliases

arxiv: 1108.1880 · arxiv_version: 1108.1880v1 · doi: 10.48550/arxiv.1108.1880 · pith_short_12: EMBVZV54Y3DD · pith_short_16: EMBVZV54Y3DDEWDW · pith_short_8: EMBVZV54

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/EMBVZV54Y3DDEWDWCYJEP5NYS4 \
  | 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: 23035cd7bcc6c6325876161247f5b89709618b3eb57d26c794b580ebfb80c987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed9a148209fc4e6d167ce7e3fd7d0a51e3e38a0a1be9224850c5ca435e978a4b",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-08-09T08:41:58Z",
    "title_canon_sha256": "f1a6fca31cd246ffffa53d4359d842ba670e6f89844f654fd2757d22aa676037"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1880",
    "kind": "arxiv",
    "version": 1
  }
}