Pith Number

pith:FV5SBHEZ

pith:2019:FV5SBHEZ5FMPTYDEUE3YBTTUNQ

not attested not anchored not stored refs pending

A geometrical characterization of proportionally modular affine semigroups

A. S\'anchez-R.-Navarro, A. Vigneron-Tenorio, J. D. D\'iaz-Ram\'irez, J. I. Garc\'ia-Garc\'ia

arxiv:1906.01585 v1 · 2019-06-04 · 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{FV5SBHEZ5FMPTYDEUE3YBTTUNQ}

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	2026-05-17T23:44:16.049834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d7b209c99e958f9e064a13780ce746c0e2f93153629e5d6411dad49ae3ca24b

Aliases

arxiv: 1906.01585 · arxiv_version: 1906.01585v1 · doi: 10.48550/arxiv.1906.01585 · pith_short_12: FV5SBHEZ5FMP · pith_short_16: FV5SBHEZ5FMPTYDE · pith_short_8: FV5SBHEZ

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/FV5SBHEZ5FMPTYDEUE3YBTTUNQ \
  | 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: 2d7b209c99e958f9e064a13780ce746c0e2f93153629e5d6411dad49ae3ca24b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbe5c13cae39a8ea0cfb7e3db9e1b4a6a49277800de71ed5a2fb47e5a645840d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-06-04T16:59:46Z",
    "title_canon_sha256": "53b6200fd7902ccce58341032b6e59d5372636245e64be11a4abb0a8ccb34e71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01585",
    "kind": "arxiv",
    "version": 1
  }
}