Pith Number

pith:FRFUS66G

pith:2021:FRFUS66GYYO2NDFVGYY375FIRB

not attested not anchored not stored refs pending

On the Erd\H{o}s-Purdy problem and the Zarankiewitz problem for semialgebraic graphs

Andrey Kupavskii, Nora Frankl

arxiv:2112.10245 v1 · 2021-12-19 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRFUS66GYYO2NDFVGYY375FIRB}

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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 Zarankiewicz's Problem for Intersection Hypergraphs of Geometric Objects

Receipt and verification

First computed	2026-07-05T03:42:12.868037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c4b497bc6c61da68cb53631bff4a8884708293472583195f3757cb2f92285d3

Aliases

arxiv: 2112.10245 · arxiv_version: 2112.10245v1 · doi: 10.48550/arxiv.2112.10245 · pith_short_12: FRFUS66GYYO2 · pith_short_16: FRFUS66GYYO2NDFV · pith_short_8: FRFUS66G

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/FRFUS66GYYO2NDFVGYY375FIRB \
  | 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: 2c4b497bc6c61da68cb53631bff4a8884708293472583195f3757cb2f92285d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9581422feb8e59673f94ac160ba401628f06d00d535351672bc234fc60e6b415",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-12-19T20:13:11Z",
    "title_canon_sha256": "22f156ef5509d74b7f0e6d3052f416e0f900b3bd0f39e9320a910098f4da28fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.10245",
    "kind": "arxiv",
    "version": 1
  }
}