Pith Number

pith:PCJS6WVG

pith:2023:PCJS6WVGA7WTFJ4ICRPT5KEOFH

not attested not anchored not stored refs pending

On integer partitions corresponding to numerical semigroups

Hannah E. Burson, Hayan Nam, Simone Sisneros-Thiry

arxiv:2302.08391 v1 · 2023-02-16 · math.CO · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCJS6WVGA7WTFJ4ICRPT5KEOFH}

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	2026-07-05T05:42:37.610050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78932f5aa607ed32a788145f3ea88e29d26fafde2dbaafaf42a1d6ead49527cd

Aliases

arxiv: 2302.08391 · arxiv_version: 2302.08391v1 · doi: 10.48550/arxiv.2302.08391 · pith_short_12: PCJS6WVGA7WT · pith_short_16: PCJS6WVGA7WTFJ4I · pith_short_8: PCJS6WVG

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/PCJS6WVGA7WTFJ4ICRPT5KEOFH \
  | 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: 78932f5aa607ed32a788145f3ea88e29d26fafde2dbaafaf42a1d6ead49527cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eff55fcc9d848ee865b4c518abc12609ebb229977242fef3659bfd313402974e",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-02-16T16:10:21Z",
    "title_canon_sha256": "6c7b5fe93d9031453bf727951f30c4c0fe6bfdd9992c3ea723a21e7d63ebc2b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.08391",
    "kind": "arxiv",
    "version": 1
  }
}