Pith Number

pith:YK3WRYXO

pith:2017:YK3WRYXORQ2T4YJEGRS6KMC5YK

not attested not anchored not stored refs pending

Covering lattice points by subspaces and counting point-hyperplane incidences

Josef Cibulka, Martin Balko, Pavel Valtr

arxiv:1703.04767 v3 · 2017-03-14 · 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{YK3WRYXORQ2T4YJEGRS6KMC5YK}

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	2026-05-18T00:26:51.722299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2b768e2ee8c353e61243465e5305dc29e9203827e668cc1fd49d19a94674a77

Aliases

arxiv: 1703.04767 · arxiv_version: 1703.04767v3 · doi: 10.48550/arxiv.1703.04767 · pith_short_12: YK3WRYXORQ2T · pith_short_16: YK3WRYXORQ2T4YJE · pith_short_8: YK3WRYXO

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/YK3WRYXORQ2T4YJEGRS6KMC5YK \
  | 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: c2b768e2ee8c353e61243465e5305dc29e9203827e668cc1fd49d19a94674a77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a154d40967d0443fdadd6c3a06a890af30217e396cc228a6e7b642753ed72dae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-14T22:15:50Z",
    "title_canon_sha256": "8503055cf45be821ee63c015ec52ff2fa9a0112aa83dd431d94f93d76efff206"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04767",
    "kind": "arxiv",
    "version": 3
  }
}