Pith Number

pith:TD3MDWTP

pith:2019:TD3MDWTPV26PK422DIIYXCI2WD

not attested not anchored not stored refs pending

Z_2-genus of graphs and minimum rank of partial symmetric matrices

Jan Kyn\v{c}l, Radoslav Fulek

arxiv:1903.08637 v1 · 2019-03-20 · 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{TD3MDWTPV26PK422DIIYXCI2WD}

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	2026-05-17T23:50:47.537936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98f6c1da6faebcf5735a1a118b891ab0c76df30c8604467f3b41fd5cacde1e78

Aliases

arxiv: 1903.08637 · arxiv_version: 1903.08637v1 · doi: 10.48550/arxiv.1903.08637 · pith_short_12: TD3MDWTPV26P · pith_short_16: TD3MDWTPV26PK422 · pith_short_8: TD3MDWTP

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/TD3MDWTPV26PK422DIIYXCI2WD \
  | 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: 98f6c1da6faebcf5735a1a118b891ab0c76df30c8604467f3b41fd5cacde1e78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1deeed290f1598f49b91a2be6ee527a33c1a2a7d210c7ce94bbf39c3a1dc80a",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-20T17:50:59Z",
    "title_canon_sha256": "e75b6b8b72949a7062458a2a73ca9c995cb3d5d086e8988ee0ea36501d6738c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08637",
    "kind": "arxiv",
    "version": 1
  }
}