Pith Number

pith:54LDAI6F

pith:2025:54LDAI6FZJWXJAFBY5ADEYVME6

not attested not anchored not stored refs pending

Factorization norms and Zarankiewicz problems

Istv\'an Tomon

arxiv:2502.18429 v2 · 2025-02-25 · math.CO · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{54LDAI6FZJWXJAFBY5ADEYVME6}

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.

Cited by

1 paper in Pith

Equality is Far Weaker than Constant-Cost Communication

Receipt and verification

First computed	2026-07-05T10:22:58.054393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef163023c5ca6d7480a1c7403262ac27a25c744b1a112b89a8f275c81d8d723c

Aliases

arxiv: 2502.18429 · arxiv_version: 2502.18429v2 · doi: 10.48550/arxiv.2502.18429 · pith_short_12: 54LDAI6FZJWX · pith_short_16: 54LDAI6FZJWXJAFB · pith_short_8: 54LDAI6F

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/54LDAI6FZJWXJAFBY5ADEYVME6 \
  | 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: ef163023c5ca6d7480a1c7403262ac27a25c744b1a112b89a8f275c81d8d723c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b9764f0f03d752938822f0d37ff479efff34b6a533f355bc061bb9b621b935e",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-25T18:23:04Z",
    "title_canon_sha256": "e772c5230878bf98d78cb6051da7a8a58b011526cd4ab3684999b0d27fab3ec5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.18429",
    "kind": "arxiv",
    "version": 2
  }
}