Pith Number

pith:KD3CSBJK

pith:2022:KD3CSBJKVC4TN4BTRCK47ETT7H

not attested not anchored not stored refs pending

Exact values for unbalanced Zarankiewicz numbers

Adam Mammoliti, Daniel Horsley, Guangzhou Chen

arxiv:2202.05507 v2 · 2022-02-11 · 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{KD3CSBJKVC4TN4BTRCK47ETT7H}

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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

A congruence obstruction to Roman's bound for Zarankiewicz numbers

Receipt and verification

First computed	2026-07-05T08:06:10.248453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50f629052aa8b936f0338895cf9273f9f10c7e4262f805b94b2425e9848332ac

Aliases

arxiv: 2202.05507 · arxiv_version: 2202.05507v2 · doi: 10.48550/arxiv.2202.05507 · pith_short_12: KD3CSBJKVC4T · pith_short_16: KD3CSBJKVC4TN4BT · pith_short_8: KD3CSBJK

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/KD3CSBJKVC4TN4BTRCK47ETT7H \
  | 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: 50f629052aa8b936f0338895cf9273f9f10c7e4262f805b94b2425e9848332ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ea27561d3542c3060716d299e3f64f73d2d1965c4c8ae3db7f571339cbc9530",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-02-11T08:43:53Z",
    "title_canon_sha256": "8c4cd546d1310ab5fcaac38cb100fffc71a566e3f838bcb11a539990ed89e8b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.05507",
    "kind": "arxiv",
    "version": 2
  }
}