Pith Number

pith:PQDBKGK7

pith:2017:PQDBKGK7VHXM3FA77RSAGV5DT5

not attested not anchored not stored refs pending

Induced subgraphs of graphs with large chromatic number. X. Holes of specific residue

Alex Scott, Paul Seymour

arxiv:1705.04609 v3 · 2017-05-11 · 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{PQDBKGK7VHXM3FA77RSAGV5DT5}

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	2026-05-17T23:59:18.073389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c0615195fa9eecd941ffc640357a39f4342ad9922e00c3a7b9be99d561a58a5

Aliases

arxiv: 1705.04609 · arxiv_version: 1705.04609v3 · doi: 10.48550/arxiv.1705.04609 · pith_short_12: PQDBKGK7VHXM · pith_short_16: PQDBKGK7VHXM3FA7 · pith_short_8: PQDBKGK7

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/PQDBKGK7VHXM3FA77RSAGV5DT5 \
  | 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: 7c0615195fa9eecd941ffc640357a39f4342ad9922e00c3a7b9be99d561a58a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "783a9d1e17d3b8f171295db41600872f01bd20429d73ae7730d6e70317a1595e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-11T17:11:58Z",
    "title_canon_sha256": "deb68f676ceaaab883808a258b65881b79cd18c328661440f285ded8d334c387"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04609",
    "kind": "arxiv",
    "version": 3
  }
}