Pith Number

pith:2P54YEFZ

pith:2016:2P54YEFZHG4JL2FHFNLPWPILSK

not attested not anchored not stored refs pending

Lower Bounds on Davenport-Schinzel Sequences via Rectangular Zarankiewicz Matrices

Julian Wellman, Seth Pettie

arxiv:1610.09774 v1 · 2016-10-31 · math.CO · cs.CG · 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{2P54YEFZHG4JL2FHFNLPWPILSK}

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	2026-05-18T01:00:47.211278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3fbcc10b939b895e8a72b56fb3d0b928d6f1cee68c2e9b7e7b402c0d2a76c38

Aliases

arxiv: 1610.09774 · arxiv_version: 1610.09774v1 · doi: 10.48550/arxiv.1610.09774 · pith_short_12: 2P54YEFZHG4J · pith_short_16: 2P54YEFZHG4JL2FH · pith_short_8: 2P54YEFZ

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/2P54YEFZHG4JL2FHFNLPWPILSK \
  | 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: d3fbcc10b939b895e8a72b56fb3d0b928d6f1cee68c2e9b7e7b402c0d2a76c38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "102524eb43ce10e5a81cd6a0b9a796af0058c7b6669d0a1371c8a1870d7fdc74",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-31T03:28:10Z",
    "title_canon_sha256": "67cce8c4889325778ae7d5b1131cc474b70d0114f2927c90afb983cb11b04882"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09774",
    "kind": "arxiv",
    "version": 1
  }
}