Pith Number

pith:F3VI5KUT

pith:2016:F3VI5KUT7UNEGZMTWCG72H3NFH

not attested not anchored not stored refs pending

A Proof of the Bar\'at-Thomassen Conjecture

Ararat Harutyunyan, Julien Bensmail, Martin Merker, St\'ephan Thomass\'e, Tien-Nam Le

arxiv:1603.00197 v2 · 2016-03-01 · 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{F3VI5KUT7UNEGZMTWCG72H3NFH}

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	2026-05-18T00:59:58.717685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eea8eaa93fd1a436593b08dfd1f6d29c9eab68d9a8723ff9e9d19afddba757a

Aliases

arxiv: 1603.00197 · arxiv_version: 1603.00197v2 · doi: 10.48550/arxiv.1603.00197 · pith_short_12: F3VI5KUT7UNE · pith_short_16: F3VI5KUT7UNEGZMT · pith_short_8: F3VI5KUT

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/F3VI5KUT7UNEGZMTWCG72H3NFH \
  | 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: 2eea8eaa93fd1a436593b08dfd1f6d29c9eab68d9a8723ff9e9d19afddba757a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a43f70f57da897681a925448535b725b2e005bdaafc65c132935b2613764abc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-01T09:29:37Z",
    "title_canon_sha256": "b42a851cd19ad3a8dc61e2da06788c049993bd36013d122b07f80b43e8183cb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00197",
    "kind": "arxiv",
    "version": 2
  }
}