Pith Number

pith:YSW25GSX

pith:2014:YSW25GSXTGZ2MPOIBHMOSPO4PI

not attested not anchored not stored refs pending

A characterization of $K_{2,4}$-minor-free graphs

Emily A. Marshall, Kenta Ozeki, M. N. Ellingham, Shoichi Tsuchiya

arxiv:1409.4632 v2 · 2014-09-16 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSW25GSXTGZ2MPOIBHMOSPO4PI}

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	2026-05-18T01:20:21.141619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4adae9a5799b3a63dc809d8e93ddc7a3488c88202f24ed43f417e872e61ae4e

Aliases

arxiv: 1409.4632 · arxiv_version: 1409.4632v2 · doi: 10.48550/arxiv.1409.4632 · pith_short_12: YSW25GSXTGZ2 · pith_short_16: YSW25GSXTGZ2MPOI · pith_short_8: YSW25GSX

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/YSW25GSXTGZ2MPOIBHMOSPO4PI \
  | 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: c4adae9a5799b3a63dc809d8e93ddc7a3488c88202f24ed43f417e872e61ae4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a8686d88b7ba6c96dddc9e9aafba1ce8a133c17ea8367451e060b7dfdde661f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-16T13:27:47Z",
    "title_canon_sha256": "d8d1a830c454c4397ece5116e537a36ff2e9a2da57ce227d06704cbafc428c4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4632",
    "kind": "arxiv",
    "version": 2
  }
}