Pith Number

pith:OQ654CT2

pith:2010:OQ654CT2KJSF25I7D5JE3ZHSSZ

not attested not anchored not stored refs pending

On the decomposable semigroups and applications

Alberto Vigneron-Tenorio, Juan Ignacio Garc\'ia-Garc\'ia, M. \'Angeles Moreno-Fr\'ias

arxiv:1006.2557 v3 · 2010-06-13 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OQ654CT2KJSF25I7D5JE3ZHSSZ}

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	2026-05-18T03:16:30.454748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

743dde0a7a52645d751f1f524de4f29661495883799af866a5d182f28598d2ed

Aliases

arxiv: 1006.2557 · arxiv_version: 1006.2557v3 · doi: 10.48550/arxiv.1006.2557 · pith_short_12: OQ654CT2KJSF · pith_short_16: OQ654CT2KJSF25I7 · pith_short_8: OQ654CT2

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/OQ654CT2KJSF25I7D5JE3ZHSSZ \
  | 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: 743dde0a7a52645d751f1f524de4f29661495883799af866a5d182f28598d2ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf7ffabac181fe28076373db222bdc505c1a2f74d7aa2a6135da9dd3e2eb307c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-06-13T20:03:46Z",
    "title_canon_sha256": "196e99c69fdd4430ba413cde5ba0776ce18b60cfb8738b884faa87b5a11e2851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2557",
    "kind": "arxiv",
    "version": 3
  }
}