Pith Number

pith:PV2XYWVT

pith:2015:PV2XYWVTLDKRE4G6PYIVFDWIAM

not attested not anchored not stored refs pending

numericalsgps, a GAP package for numerical semigroups

Manuel Delgado, Pedro A. Garc\'ia S\'anchez

arxiv:1506.02131 v1 · 2015-06-06 · 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{PV2XYWVTLDKRE4G6PYIVFDWIAM}

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	2026-05-17T23:54:27.262250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d757c5ab358d51270de7e11528ec803289f5df75e117019f1c0776aee9fe062

Aliases

arxiv: 1506.02131 · arxiv_version: 1506.02131v1 · doi: 10.48550/arxiv.1506.02131 · pith_short_12: PV2XYWVTLDKR · pith_short_16: PV2XYWVTLDKRE4G6 · pith_short_8: PV2XYWVT

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/PV2XYWVTLDKRE4G6PYIVFDWIAM \
  | 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: 7d757c5ab358d51270de7e11528ec803289f5df75e117019f1c0776aee9fe062

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29c248771354051cb7d744973728590be6594e04ff7309de1f279c3ef782d400",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-06-06T09:34:46Z",
    "title_canon_sha256": "c1310237077be3da4dd141d6ab6ca5cd7d0eccb12c98d6a2b011db1893ea5217"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02131",
    "kind": "arxiv",
    "version": 1
  }
}