Pith Number

pith:7XMEWE27

pith:2007:7XMEWE27RYQQY4ZDXMBWNEHRBB

not attested not anchored not stored refs pending

Maximal Arithmetic Progressions in Random Subsets

Ariel Yadin, Itai Benjamini, Ofer Zeitouni

arxiv:0707.3888 v2 · 2007-07-26 · math.PR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7XMEWE27RYQQY4ZDXMBWNEHRBB}

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	2026-05-18T03:55:22.388458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdd84b135f8e210c7323bb036690f1086e29faba417964cb8a3e39b9fd7ea739

Aliases

arxiv: 0707.3888 · arxiv_version: 0707.3888v2 · doi: 10.48550/arxiv.0707.3888 · pith_short_12: 7XMEWE27RYQQ · pith_short_16: 7XMEWE27RYQQY4ZD · pith_short_8: 7XMEWE27

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/7XMEWE27RYQQY4ZDXMBWNEHRBB \
  | 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: fdd84b135f8e210c7323bb036690f1086e29faba417964cb8a3e39b9fd7ea739

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34c6f313538f1525df7542c7acf3a2718be223a33aa56c094e357cea6538b30c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2007-07-26T10:03:28Z",
    "title_canon_sha256": "846c3b8893dbee01ccab3ff56d00cf226184077e7b2b94b18762c914dfe12dd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.3888",
    "kind": "arxiv",
    "version": 2
  }
}