Pith Number

pith:632AQOOY

pith:2026:632AQOOYV447P36ASSOT7HWRLD

not attested not anchored not stored refs pending

Eventually nondecreasing quasi-polynomials

Antwon Park, Benjamin Braun, Christopher O'Neill

arxiv:2607.19207 v1 · 2026-07-21 · math.CO · 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{632AQOOYV447P36ASSOT7HWRLD}

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	2026-07-22T01:24:14.338161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6f40839d8af39f7efc0949d3f9ed158ec06630adc16029f6070b36f8c891804

Aliases

arxiv: 2607.19207 · arxiv_version: 2607.19207v1 · doi: 10.48550/arxiv.2607.19207 · pith_short_12: 632AQOOYV447 · pith_short_16: 632AQOOYV447P36A · pith_short_8: 632AQOOY

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/632AQOOYV447P36ASSOT7HWRLD \
  | 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: f6f40839d8af39f7efc0949d3f9ed158ec06630adc16029f6070b36f8c891804

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c97d1c3e297895d5f37340346411c20674e6cc937b92ccec64a7ad901cd0aa60",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-21T15:38:36Z",
    "title_canon_sha256": "658131f95d464a42ebd75b0edbfb267e06fd73bc1618c47eb57a447c9f869eb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19207",
    "kind": "arxiv",
    "version": 1
  }
}