Pith Number

pith:OLKS3JIL

pith:2025:OLKS3JILBT4BVRUOV6QMDXZNOU

not attested not anchored not stored refs pending

A weak regularity lemma for polynomials

Dora Woodruff, Guy Moshkovitz

arxiv:2509.21536 v3 · 2025-09-25 · math.CO · cs.CC · 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{OLKS3JILBT4BVRUOV6QMDXZNOU}

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	2026-05-26T02:05:02.265952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72d52da50b0cf81ac68eafa0c1df2d7531054608370ce3a5f2ce45e770107d63

Aliases

arxiv: 2509.21536 · arxiv_version: 2509.21536v3 · doi: 10.48550/arxiv.2509.21536 · pith_short_12: OLKS3JILBT4B · pith_short_16: OLKS3JILBT4BVRUO · pith_short_8: OLKS3JIL

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/OLKS3JILBT4BVRUOV6QMDXZNOU \
  | 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: 72d52da50b0cf81ac68eafa0c1df2d7531054608370ce3a5f2ce45e770107d63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4504ff638a6d94973fd3e498d2c769374cecd3ac42c96d70adb9a18828997387",
    "cross_cats_sorted": [
      "cs.CC",
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-25T20:22:43Z",
    "title_canon_sha256": "de6edb7e99a8bb0ead8467b15d5ac4b518477869471ece7e4175880b7541710f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.21536",
    "kind": "arxiv",
    "version": 3
  }
}