Pith Number

pith:OBPGBCWR

pith:2012:OBPGBCWRDMDDQOT6DJUU64UD7U

not attested not anchored not stored refs pending

Extensions of a result of Elekes and R\'onyai

Frank de Zeeuw, J\'ozsef Solymosi, Ryan Schwartz

arxiv:1206.2717 v1 · 2012-06-13 · 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{OBPGBCWRDMDDQOT6DJUU64UD7U}

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	2026-05-18T02:53:54.225777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

705e608ad11b06383a7e1a694f7283fd388b0145ca6320e0b47c9ca76bfb5eb6

Aliases

arxiv: 1206.2717 · arxiv_version: 1206.2717v1 · doi: 10.48550/arxiv.1206.2717 · pith_short_12: OBPGBCWRDMDD · pith_short_16: OBPGBCWRDMDDQOT6 · pith_short_8: OBPGBCWR

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/OBPGBCWRDMDDQOT6DJUU64UD7U \
  | 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: 705e608ad11b06383a7e1a694f7283fd388b0145ca6320e0b47c9ca76bfb5eb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3ba84203dc85747cfabb1c6e253398e8e9ff3fd42eea017533f7f9c7c80f567",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-13T04:58:54Z",
    "title_canon_sha256": "2d3decf6f5919caf7f6120518cbc0649351ccc92196e7643e7d50326d7b04989"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2717",
    "kind": "arxiv",
    "version": 1
  }
}