Pith Number

pith:Q3D7EO3T

pith:2011:Q3D7EO3T5SAQOY2RSSAM5ZRLT3

not attested not anchored not stored refs pending

Sarkozy's Theorem for P-Intersective Polynomials

Alex Rice

arxiv:1111.6559 v5 · 2011-11-28 · math.CA · math.CO · 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{Q3D7EO3T5SAQOY2RSSAM5ZRLT3}

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	2026-05-18T02:28:12.385963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86c7f23b73ec810763519480cee62b9ecfdc73b818fa136c636c16052c957be8

Aliases

arxiv: 1111.6559 · arxiv_version: 1111.6559v5 · doi: 10.48550/arxiv.1111.6559 · pith_short_12: Q3D7EO3T5SAQ · pith_short_16: Q3D7EO3T5SAQOY2R · pith_short_8: Q3D7EO3T

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/Q3D7EO3T5SAQOY2RSSAM5ZRLT3 \
  | 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: 86c7f23b73ec810763519480cee62b9ecfdc73b818fa136c636c16052c957be8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc4e6444e0b1bbb14378be42cbbbf20a8e85b13c5de80ad9864a18078f44043b",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-11-28T19:25:01Z",
    "title_canon_sha256": "962516a1829af9abcd9c011690cd65cb4927dc8d2d643f83f9757c7f5f1b43e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6559",
    "kind": "arxiv",
    "version": 5
  }
}