Pith Number

pith:2XYMJ5YT

pith:2022:2XYMJ5YTQPLOANDY6DXY57XFHQ

not attested not anchored not stored refs pending

Towards the Erd\H{o}s-Hajnal conjecture for $P_5$-free graphs

Matija Buci\'c, Pablo Blanco

arxiv:2210.10755 v2 · 2022-10-19 · 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{2XYMJ5YTQPLOANDY6DXY57XFHQ}

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.

Cited by

1 paper in Pith

Induced subgraph density. IV. New graphs with the Erd\H{o}s-Hajnal property

Receipt and verification

First computed	2026-07-05T07:05:29.863455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5f0c4f71383d6e03478f0ef8efee53c3634cdd98c85a615caf0f4ea7129bb41

Aliases

arxiv: 2210.10755 · arxiv_version: 2210.10755v2 · doi: 10.48550/arxiv.2210.10755 · pith_short_12: 2XYMJ5YTQPLO · pith_short_16: 2XYMJ5YTQPLOANDY · pith_short_8: 2XYMJ5YT

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/2XYMJ5YTQPLOANDY6DXY57XFHQ \
  | 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: d5f0c4f71383d6e03478f0ef8efee53c3634cdd98c85a615caf0f4ea7129bb41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6364786634097678c3a5cb926c3a9962aa933018fdfeb3e80ac271bd9c8d5aba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-10-19T17:54:39Z",
    "title_canon_sha256": "41ca987725cc42657d986b9314a20dcc0c0704f14816bf8f5e5c9ffd745d7f2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.10755",
    "kind": "arxiv",
    "version": 2
  }
}