Pith Number

pith:HJ6PKNH3

pith:2017:HJ6PKNH3HRY7JUOG5O6JGDY5BI

not attested not anchored not stored refs pending

A counterexample to Montgomery's conjecture on dynamic colourings of regular graphs

Florian Lehner, Joshua Erde, Konstantinos Stavropoulos, Martin Merker, Max Pitz, Nathan Bowler

arxiv:1702.00973 v1 · 2017-02-03 · 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{HJ6PKNH3HRY7JUOG5O6JGDY5BI}

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	2026-05-18T00:51:29.265206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a7cf534fb3c71f4d1c6ebbc930f1d0a3ef5e60c4cf6a737998dca4e842dee1a

Aliases

arxiv: 1702.00973 · arxiv_version: 1702.00973v1 · doi: 10.48550/arxiv.1702.00973 · pith_short_12: HJ6PKNH3HRY7 · pith_short_16: HJ6PKNH3HRY7JUOG · pith_short_8: HJ6PKNH3

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/HJ6PKNH3HRY7JUOG5O6JGDY5BI \
  | 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: 3a7cf534fb3c71f4d1c6ebbc930f1d0a3ef5e60c4cf6a737998dca4e842dee1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21b63956526dfff566015cdd1bf1f61b9f68aab7b9aa6423d6248b13f214bd71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-03T11:35:44Z",
    "title_canon_sha256": "4f82a479319644a812a5bd555c0dc9a585333c55ef1ab85aba519a0921054467"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00973",
    "kind": "arxiv",
    "version": 1
  }
}