Pith Number

pith:PRYD45PA

pith:2022:PRYD45PA64YUDGT3FF6S5WRHBQ

not attested not anchored not stored refs pending

A non-flag arithmetic regularity lemma and counting lemma

Daniel Altman

arxiv:2209.14083 v1 · 2022-09-28 · math.CO · math.DS · 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{PRYD45PA64YUDGT3FF6S5WRHBQ}

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.

Cited by

1 paper in Pith

On polynomial progressions via transference

Receipt and verification

First computed	2026-07-05T11:33:46.672110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c703e75e0f731419a7b297d2eda270c3e3b0d610a5eebf789427505b1a42255

Aliases

arxiv: 2209.14083 · arxiv_version: 2209.14083v1 · doi: 10.48550/arxiv.2209.14083 · pith_short_12: PRYD45PA64YU · pith_short_16: PRYD45PA64YUDGT3 · pith_short_8: PRYD45PA

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/PRYD45PA64YUDGT3FF6S5WRHBQ \
  | 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: 7c703e75e0f731419a7b297d2eda270c3e3b0d610a5eebf789427505b1a42255

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "791106b2958efcfbc2835062b73b008111b98b007fa548224967da3f72f110ce",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-09-28T13:26:43Z",
    "title_canon_sha256": "def466e70b01687f0014c962c1cef05a2b424c82232f0c6ef06cced43a893362"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.14083",
    "kind": "arxiv",
    "version": 1
  }
}