Pith Number

pith:73GUERBY

pith:2015:73GUERBYUIQPPCTXWUCK4GRKIF

not attested not anchored not stored refs pending

The odd Hadwiger's conjecture is "almost'' decidable

Ken-ichi Kawarabayashi

arxiv:1508.04053 v1 · 2015-08-17 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{73GUERBYUIQPPCTXWUCK4GRKIF}

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	2026-05-18T01:35:12.926092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fecd424438a220f78a77b504ae1a2a415feb7164b2d3d5fab1e2714ca66814be

Aliases

arxiv: 1508.04053 · arxiv_version: 1508.04053v1 · doi: 10.48550/arxiv.1508.04053 · pith_short_12: 73GUERBYUIQP · pith_short_16: 73GUERBYUIQPPCTX · pith_short_8: 73GUERBY

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/73GUERBYUIQPPCTXWUCK4GRKIF \
  | 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: fecd424438a220f78a77b504ae1a2a415feb7164b2d3d5fab1e2714ca66814be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8e6854d24233f173ad3b34dc0be8bb8c9dd3236f101f18fe576953108e7d3c9",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-17T15:15:24Z",
    "title_canon_sha256": "16464bf8837606ac51ef4c5b507fcd9e1c1a607b68c9d9406b2348a35bd7412d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04053",
    "kind": "arxiv",
    "version": 1
  }
}