Pith Number

pith:P6PQIH3T

pith:2025:P6PQIH3TUYHOVNJASLL4Y5H3Z5

not attested not anchored not stored refs pending

Certified algorithms for numerical semigroups in Rocq

Marco Ferrara, Massimo Bartoletti, Stefano Bonzio

arxiv:2505.23205 v1 · 2025-05-29 · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P6PQIH3TUYHOVNJASLL4Y5H3Z5}

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	2026-07-05T11:12:12.053989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f9f041f73a60eeab52092d7cc74fbcf71b4c7e89b3125eb3e53928eea9178f3

Aliases

arxiv: 2505.23205 · arxiv_version: 2505.23205v1 · doi: 10.48550/arxiv.2505.23205 · pith_short_12: P6PQIH3TUYHO · pith_short_16: P6PQIH3TUYHOVNJA · pith_short_8: P6PQIH3T

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/P6PQIH3TUYHOVNJASLL4Y5H3Z5 \
  | 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: 7f9f041f73a60eeab52092d7cc74fbcf71b4c7e89b3125eb3e53928eea9178f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c2d396638a2c8b8a348f8671a5db60aa67acba1bc94ef12e241d802d6099a5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2025-05-29T07:44:32Z",
    "title_canon_sha256": "ad1abc2ac679651e2a26f6fe09bebf6c0b3f760e71c58080e317bd94be241ebd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23205",
    "kind": "arxiv",
    "version": 1
  }
}