Pith Number

pith:M6NOZ4LY

pith:2012:M6NOZ4LYL442EUQRCD7AU3UE3V

not attested not anchored not stored refs pending

An extremal problem on crossing vectors

Bartosz Walczak, Micha{\l} Laso\'n, Noah Streib, Piotr Micek, William T. Trotter

arxiv:1205.1824 v3 · 2012-05-08 · 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{M6NOZ4LYL442EUQRCD7AU3UE3V}

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	2026-05-18T02:44:57.093151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

679aecf1785f39a2521110fe0a6e84dd4c00f6a0da0ba033d4dc9d00e609fd67

Aliases

arxiv: 1205.1824 · arxiv_version: 1205.1824v3 · doi: 10.48550/arxiv.1205.1824 · pith_short_12: M6NOZ4LYL442 · pith_short_16: M6NOZ4LYL442EUQR · pith_short_8: M6NOZ4LY

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/M6NOZ4LYL442EUQRCD7AU3UE3V \
  | 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: 679aecf1785f39a2521110fe0a6e84dd4c00f6a0da0ba033d4dc9d00e609fd67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a5c83f36e097775769552ea6f79966b97e5f18c4ed982a6bd5c15bb350a4656",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-08T20:57:11Z",
    "title_canon_sha256": "150b4c614df29b50ae08abf2ec1e0c6467729f63f3eef9a37044c24807e19bdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1824",
    "kind": "arxiv",
    "version": 3
  }
}