Pith Number

pith:4B3SJVNG

pith:2012:4B3SJVNG7MK5WLHBM32GWG2BLW

not attested not anchored not stored refs pending

Nonhomogeneous patterns on numerical semigroups

Albert Vico-Oton, Maria Bras-Amor\'os, Pedro A. Garc\'ia-S\'anchez

arxiv:1211.0895 v1 · 2012-11-05 · math.NT · cs.DM · 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{4B3SJVNG7MK5WLHBM32GWG2BLW}

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	2026-05-18T03:41:31.310138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07724d5a6fb15db2ce166f46b1b415d80d178e11a381c4d3c7095573d7dcef3

Aliases

arxiv: 1211.0895 · arxiv_version: 1211.0895v1 · doi: 10.48550/arxiv.1211.0895 · pith_short_12: 4B3SJVNG7MK5 · pith_short_16: 4B3SJVNG7MK5WLHB · pith_short_8: 4B3SJVNG

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/4B3SJVNG7MK5WLHBM32GWG2BLW \
  | 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: e07724d5a6fb15db2ce166f46b1b415d80d178e11a381c4d3c7095573d7dcef3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64ce799ca63a5c79ef11326ab22810dc6a8cdab602063f29c83737e7ec715eb5",
    "cross_cats_sorted": [
      "cs.DM",
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-05T15:44:27Z",
    "title_canon_sha256": "d754d94ea6fa598431632218c84813f820505a99a03a4ea20cf626812f605ee5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0895",
    "kind": "arxiv",
    "version": 1
  }
}