Pith Number

pith:W24HBTEH

pith:2014:W24HBTEHJ6XOGR2SLVWECUQMKA

not attested not anchored not stored refs pending

Existence of spanning $\mathcal{F}$-free subgraphs with large minimum degree

Bruce Reed, Guillem Perarnau

arxiv:1404.7764 v2 · 2014-04-30 · 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{W24HBTEHJ6XOGR2SLVWECUQMKA}

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	2026-05-18T00:55:28.914231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6b870cc874faee347525d6c41520c5004f116539f238fc961dccc97788ccae5

Aliases

arxiv: 1404.7764 · arxiv_version: 1404.7764v2 · doi: 10.48550/arxiv.1404.7764 · pith_short_12: W24HBTEHJ6XO · pith_short_16: W24HBTEHJ6XOGR2S · pith_short_8: W24HBTEH

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/W24HBTEHJ6XOGR2SLVWECUQMKA \
  | 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: b6b870cc874faee347525d6c41520c5004f116539f238fc961dccc97788ccae5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee484d34579b4e0a424c4b1b9c1e73f2e40ee2072ced5285f5d029fdea3071e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-30T15:41:01Z",
    "title_canon_sha256": "d58a935c19839ba1ab6c391c409e9c80b56761d71cedffe895d8c098ebc1fd32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7764",
    "kind": "arxiv",
    "version": 2
  }
}