Pith Number

pith:KYGR4DQL

pith:2017:KYGR4DQL5CPNT4LNPVV7G44UOZ

not attested not anchored not stored refs pending

Induced subgraphs of graphs with large chromatic number. VIII. Long odd holes

Alex Scott, Maria Chudnovsky, Paul Seymour, Sophie Spirkl

arxiv:1701.07217 v3 · 2017-01-25 · 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{KYGR4DQL5CPNT4LNPVV7G44UOZ}

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	2026-05-17T23:47:40.326978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

560d1e0e0be89ed9f16d7d6bf373947662fb3c495b857c358201fdd200b29dd5

Aliases

arxiv: 1701.07217 · arxiv_version: 1701.07217v3 · doi: 10.48550/arxiv.1701.07217 · pith_short_12: KYGR4DQL5CPN · pith_short_16: KYGR4DQL5CPNT4LN · pith_short_8: KYGR4DQL

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/KYGR4DQL5CPNT4LNPVV7G44UOZ \
  | 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: 560d1e0e0be89ed9f16d7d6bf373947662fb3c495b857c358201fdd200b29dd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d95ff0cc08e1d48e617458e7fb95ffc016d716840f671bc2b65d03a90e102f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-25T09:22:48Z",
    "title_canon_sha256": "1985cba53132dce1462bc19dfba475e30d77ab7d38b2cd066f5c5d9f63981f24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07217",
    "kind": "arxiv",
    "version": 3
  }
}