Pith Number

pith:XLZNICYW

pith:2026:XLZNICYWHFSUB6IOBU7HWNCR5W

not attested not anchored not stored refs pending

A combinatorial sum with two complex parameters

Michel Bataille, Robert Frontczak

arxiv:2607.02639 v1 · 2026-07-02 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XLZNICYWHFSUB6IOBU7HWNCR5W}

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	2026-07-07T00:16:04.833865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baf2d40b16396540f90e0d3e7b3451ed8b81e9d967234942f3f07ed7f128c745

Aliases

arxiv: 2607.02639 · arxiv_version: 2607.02639v1 · doi: 10.48550/arxiv.2607.02639 · pith_short_12: XLZNICYWHFSU · pith_short_16: XLZNICYWHFSUB6IO · pith_short_8: XLZNICYW

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/XLZNICYWHFSUB6IOBU7HWNCR5W \
  | 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: baf2d40b16396540f90e0d3e7b3451ed8b81e9d967234942f3f07ed7f128c745

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c93071dc4f3168a5937a46f9eda7768288f82ddf87f9fe45abdcd2bfb8a33e5e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2026-07-02T15:51:14Z",
    "title_canon_sha256": "774653b1248462d59b92f76b98f91a23124eec80d80b75768a7d9ffd74f1d14b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02639",
    "kind": "arxiv",
    "version": 1
  }
}