Pith Number

pith:QXL5PA2J

pith:2014:QXL5PA2JRA3YY5RTDDOHHXOGKK

not attested not anchored not stored refs pending

A short proof of Kotzig's theorem

Gleb Nenashev

arxiv:1402.0949 v1 · 2014-02-05 · 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{QXL5PA2JRA3YY5RTDDOHHXOGKK}

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	2026-05-18T03:00:02.214023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d7d7834988378c763318dc73ddc65289442a5bfee068940d5b26d69d64077c

Aliases

arxiv: 1402.0949 · arxiv_version: 1402.0949v1 · doi: 10.48550/arxiv.1402.0949 · pith_short_12: QXL5PA2JRA3Y · pith_short_16: QXL5PA2JRA3YY5RT · pith_short_8: QXL5PA2J

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/QXL5PA2JRA3YY5RTDDOHHXOGKK \
  | 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: 85d7d7834988378c763318dc73ddc65289442a5bfee068940d5b26d69d64077c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13d62d54402100c6b5decfcc1b85b7ee1fff7f31a0eed8e1ae65af2f8656a42d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-05T06:54:01Z",
    "title_canon_sha256": "6ac25bee6395c37fbf90c1f9c21daa778704a6eec6723aa7309461c6b21d08c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0949",
    "kind": "arxiv",
    "version": 1
  }
}