Pith Number

pith:F7PTP27A

pith:2022:F7PTP27AUTRP2IJUK2MWUSZPZS

not attested not anchored not stored refs pending

Induced subgraphs of induced subgraphs of large chromatic number

Alex Scott, Ant\'onio Gir\~ao, Emil Powierski, Freddie Illingworth, Jane Tan, Michael Savery, Youri Tamitegama

arxiv:2203.03612 v4 · 2022-03-07 · 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{F7PTP27AUTRP2IJUK2MWUSZPZS}

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	2026-07-05T06:51:17.514029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fdf37ebe0a4e2fd213456996a4b2fcc8481ea4eff97514cc2394a105a655d93

Aliases

arxiv: 2203.03612 · arxiv_version: 2203.03612v4 · doi: 10.48550/arxiv.2203.03612 · pith_short_12: F7PTP27AUTRP · pith_short_16: F7PTP27AUTRP2IJU · pith_short_8: F7PTP27A

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/F7PTP27AUTRP2IJUK2MWUSZPZS \
  | 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: 2fdf37ebe0a4e2fd213456996a4b2fcc8481ea4eff97514cc2394a105a655d93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "178ade91edec433bdf1a2db724d691879ceb28d89f020b15ff245f58d0298d36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-03-07T18:59:32Z",
    "title_canon_sha256": "73fc01ee44eba7d49e0892a6edd22700a4594e221ea261778630717715ce878d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.03612",
    "kind": "arxiv",
    "version": 4
  }
}