Pith Number

pith:7EDKJIRS

pith:2010:7EDKJIRSQTNZVYA3IWHGT6SF6W

not attested not anchored not stored refs pending

The Kelmans-Seymour conjecture for apex graphs

Elad Aigner-Horev, Roi Krakovski

arxiv:1012.5793 v1 · 2010-12-28 · 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{7EDKJIRSQTNZVYA3IWHGT6SF6W}

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	2026-05-18T04:32:21.528666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f906a4a23284db9ae01b458e69fa45f5820e309effdc3a79a872a903255d0553

Aliases

arxiv: 1012.5793 · arxiv_version: 1012.5793v1 · doi: 10.48550/arxiv.1012.5793 · pith_short_12: 7EDKJIRSQTNZ · pith_short_16: 7EDKJIRSQTNZVYA3 · pith_short_8: 7EDKJIRS

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/7EDKJIRSQTNZVYA3IWHGT6SF6W \
  | 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: f906a4a23284db9ae01b458e69fa45f5820e309effdc3a79a872a903255d0553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc8995ab0966d7d7b11859ad5e06255a626899f14de6f8083b912cd2b66829fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-28T16:59:15Z",
    "title_canon_sha256": "433ac17b0827592fbe3b1a20a08dba13f74a584c3a96250838dc8c1dd9cf80d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5793",
    "kind": "arxiv",
    "version": 1
  }
}