Pith Number

pith:ETJ7SWIL

pith:2024:ETJ7SWILJPBZSDW2XANQH2BQ7A

not attested not anchored not stored refs pending

Chromatic profiles of odd cycles

Xiaoli Yuan, Yuejian Peng, Zilong Yan

arxiv:2409.03407 v2 · 2024-09-05 · 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{ETJ7SWILJPBZSDW2XANQH2BQ7A}

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

Interpolating chromatic and homomorphism thresholds

Receipt and verification

First computed	2026-07-05T09:54:28.494435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24d3f9590b4bc3990edab81b03e830f834914def155c1784094b47fad6c6c6fa

Aliases

arxiv: 2409.03407 · arxiv_version: 2409.03407v2 · doi: 10.48550/arxiv.2409.03407 · pith_short_12: ETJ7SWILJPBZ · pith_short_16: ETJ7SWILJPBZSDW2 · pith_short_8: ETJ7SWIL

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/ETJ7SWILJPBZSDW2XANQH2BQ7A \
  | 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: 24d3f9590b4bc3990edab81b03e830f834914def155c1784094b47fad6c6c6fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "878237b25f1e73a1e3f10ed59310b5a3ded94b35e419a5d2c74b6fa3e5a9ea3c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-05T10:45:07Z",
    "title_canon_sha256": "cf3307bb944e50e1427998730cb7cb0ff9bb68329b7c3afeeb633febfb39085b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.03407",
    "kind": "arxiv",
    "version": 2
  }
}