Pith Number

pith:HY36CBE6

pith:2025:HY36CBE6ILDP4CZO42RZRCSEZC

not attested not anchored not stored refs pending

The asymptotic $\chi$-boundedness of hereditary families

Bruce Reed, Yelena Yuditsky

arxiv:2506.01070 v1 · 2025-06-01 · 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{HY36CBE6ILDP4CZO42RZRCSEZC}

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

Chromatic numbers from edge ideals: Graph classes with vanishing syzygies are polynomially $\chi$-bounded

Receipt and verification

First computed	2026-07-05T11:13:45.443928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e37e1049e42c6fe0b2ee6a3988a44c8808aa2882270055df6bda3da717e0e00

Aliases

arxiv: 2506.01070 · arxiv_version: 2506.01070v1 · doi: 10.48550/arxiv.2506.01070 · pith_short_12: HY36CBE6ILDP · pith_short_16: HY36CBE6ILDP4CZO · pith_short_8: HY36CBE6

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/HY36CBE6ILDP4CZO42RZRCSEZC \
  | 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: 3e37e1049e42c6fe0b2ee6a3988a44c8808aa2882270055df6bda3da717e0e00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9582017c1cac3a7174b43bf47ada5a90152755cca4446630c174022200a5992e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-01T16:19:14Z",
    "title_canon_sha256": "e99e087b767978ae3ed1aeae6b87c1b0c815e98f9828b84c95d7f5d525308329"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01070",
    "kind": "arxiv",
    "version": 1
  }
}