Pith Number

pith:2GPX4A6H

pith:2026:2GPX4A6HK7YTIAUG5F2ASO4QDS

not attested not anchored not stored refs pending

A proof of Andersen's rainbow path conjecture for large $n$

Alexey Pokrovskiy, Alp M\"uyesser, Candida Bowtell, Richard Montgomery

arxiv:2608.06369 v1 · 2026-08-06 · 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{2GPX4A6HK7YTIAUG5F2ASO4QDS}

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	2026-08-07T01:41:29.821372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d19f7e03c757f1340286e974093b901cba14c23bb041e5d71c99ae3f633a7114

Aliases

arxiv: 2608.06369 · arxiv_version: 2608.06369v1 · doi: 10.48550/arxiv.2608.06369 · pith_short_12: 2GPX4A6HK7YT · pith_short_16: 2GPX4A6HK7YTIAUG · pith_short_8: 2GPX4A6H

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/2GPX4A6HK7YTIAUG5F2ASO4QDS \
  | 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: d19f7e03c757f1340286e974093b901cba14c23bb041e5d71c99ae3f633a7114

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92c7ebfeecbace0514243da113bc7c257d16d6e7726215d7762f4587823efda8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-06T17:58:27Z",
    "title_canon_sha256": "61915566de04682158bb5003991173b7818a6705949004ec0c3688b09dcbc0d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06369",
    "kind": "arxiv",
    "version": 1
  }
}