Pith Number

pith:3YQC5EXM

pith:2015:3YQC5EXMUO5D5G6LKS2CMGQF6B

not attested not anchored not stored refs pending

Sparsity and dimension

Gwena\"el Joret, Piotr Micek, Veit Wiechert

arxiv:1507.01120 v3 · 2015-07-04 · 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{3YQC5EXMUO5D5G6LKS2CMGQF6B}

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	2026-05-17T23:54:32.137053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de202e92eca3ba3e9bcb54b4261a05f05c2c3e68ee94e4da9448855d68867f1a

Aliases

arxiv: 1507.01120 · arxiv_version: 1507.01120v3 · doi: 10.48550/arxiv.1507.01120 · pith_short_12: 3YQC5EXMUO5D · pith_short_16: 3YQC5EXMUO5D5G6L · pith_short_8: 3YQC5EXM

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/3YQC5EXMUO5D5G6LKS2CMGQF6B \
  | 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: de202e92eca3ba3e9bcb54b4261a05f05c2c3e68ee94e4da9448855d68867f1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f222bae80b268aa909b26e9ec6033d39bf7caf12cc268ab80ec16aa9bf025b1b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-04T15:49:26Z",
    "title_canon_sha256": "980b18187d83a6026e752e8403f75a5c8c76d3b087974e8183226dbe69c8beb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01120",
    "kind": "arxiv",
    "version": 3
  }
}