Pith Number

pith:3KMWANBX

pith:2015:3KMWANBXEFLSDNFCU6PZDQTMDE

not attested not anchored not stored refs pending

Proportionally modular affine semigroups

A. Vigneron-Tenorio, J. I. Garc\'ia-Garc\'ia, M. A. Moreno-Fr\'ias

arxiv:1512.01513 v2 · 2015-12-04 · 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{3KMWANBXEFLSDNFCU6PZDQTMDE}

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	2026-05-18T01:11:17.885428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da99603437215721b4a2a79f91c26c191f7db54bc2f914ea78e00dd403b7d27c

Aliases

arxiv: 1512.01513 · arxiv_version: 1512.01513v2 · doi: 10.48550/arxiv.1512.01513 · pith_short_12: 3KMWANBXEFLS · pith_short_16: 3KMWANBXEFLSDNFC · pith_short_8: 3KMWANBX

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/3KMWANBXEFLSDNFCU6PZDQTMDE \
  | 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: da99603437215721b4a2a79f91c26c191f7db54bc2f914ea78e00dd403b7d27c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "682e2438ed15bbdf0b2ff63dc946e293ffb3a9d6f74e035dd6a05d098e4d02da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-12-04T19:11:12Z",
    "title_canon_sha256": "a405efa4340ed638ddc3db160b8e28b330b8b50e23ef7603990beb25b83f3b63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01513",
    "kind": "arxiv",
    "version": 2
  }
}