Pith Number

pith:6BQDFR6V

pith:2026:6BQDFR6VQP2XO4MZDYDDDL2HRD

not attested not anchored not stored refs pending

A Proof of Nash-Williams' Conjecture

Luke Postle, Michelle Delcourt

arxiv:2606.11178 v1 · 2026-06-09 · 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{6BQDFR6VQP2XO4MZDYDDDL2HRD}

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	2026-06-10T01:11:15.455471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f06032c7d583f57771991e0631af4788c613d434dd45743edf078d7d6fa654e8

Aliases

arxiv: 2606.11178 · arxiv_version: 2606.11178v1 · doi: 10.48550/arxiv.2606.11178 · pith_short_12: 6BQDFR6VQP2X · pith_short_16: 6BQDFR6VQP2XO4MZ · pith_short_8: 6BQDFR6V

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/6BQDFR6VQP2XO4MZDYDDDL2HRD \
  | 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: f06032c7d583f57771991e0631af4788c613d434dd45743edf078d7d6fa654e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78cd8cac56b865da3c89484c94cbe9f83fa7ec1c80979e74ccebcc018747d2c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-09T17:55:22Z",
    "title_canon_sha256": "8f17e80d41047ab23b7836b8b6ad65ed7885c3b380426afc54bd19d92260c1bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11178",
    "kind": "arxiv",
    "version": 1
  }
}