Pith Number

pith:QIEWLFPC

pith:2012:QIEWLFPCYCFV5NSS7RLR6W747R

not attested not anchored not stored refs pending

Factorization invariants in half-factorial affine semigroups

Alfredo S\'anchez-R.-Navarro, Ignacio Ojeda, Pedro A. Garc\'ia-S\'anchez

arxiv:1207.5838 v1 · 2012-07-24 · 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{QIEWLFPCYCFV5NSS7RLR6W747R}

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	2026-05-18T03:11:09.635289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82096595e2c08b5eb652fc571f5bfcfc59ac7b94ba72a51b84d030b3fe87e72c

Aliases

arxiv: 1207.5838 · arxiv_version: 1207.5838v1 · doi: 10.48550/arxiv.1207.5838 · pith_short_12: QIEWLFPCYCFV · pith_short_16: QIEWLFPCYCFV5NSS · pith_short_8: QIEWLFPC

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/QIEWLFPCYCFV5NSS7RLR6W747R \
  | 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: 82096595e2c08b5eb652fc571f5bfcfc59ac7b94ba72a51b84d030b3fe87e72c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da9995e08b86fe45ede4d352d18fdb3a0c3ffc87052db436f68b580981f70ffb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-07-24T21:51:14Z",
    "title_canon_sha256": "22bbfd0fb0f36331fdd8eca5688d66a58cb562b78e603e805c312445e2ddf191"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5838",
    "kind": "arxiv",
    "version": 1
  }
}