Pith Number

pith:EHDZIOLF

pith:2011:EHDZIOLFAFW3R2YVQGMUXIIBWH

not attested not anchored not stored refs pending

Improved Bounds on Sarkozy's Theorem for Quadratic Polynomials

Alex Rice, Mariah Hamel, Neil Lyall

arxiv:1111.5786 v4 · 2011-11-24 · 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{EHDZIOLFAFW3R2YVQGMUXIIBWH}

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	2026-05-18T03:59:12.155013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21c7943965016db8eb1581994ba101b1ef87333b7507bc9bae7ac4f76cd8e9d7

Aliases

arxiv: 1111.5786 · arxiv_version: 1111.5786v4 · doi: 10.48550/arxiv.1111.5786 · pith_short_12: EHDZIOLFAFW3 · pith_short_16: EHDZIOLFAFW3R2YV · pith_short_8: EHDZIOLF

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/EHDZIOLFAFW3R2YVQGMUXIIBWH \
  | 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: 21c7943965016db8eb1581994ba101b1ef87333b7507bc9bae7ac4f76cd8e9d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a165eccca7d88a0f18009fefc6761c39a531bef68b2d4f61003f9948c34bc649",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-11-24T14:54:50Z",
    "title_canon_sha256": "b2c67f4f940896241907ba69e38641507e1e7bdca791865da4039a630bf07949"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5786",
    "kind": "arxiv",
    "version": 4
  }
}