Pith Number

pith:OF4QF6RV

pith:2024:OF4QF6RV5Z6NBYQGG3IK4KQ626

not attested not anchored not stored refs pending

Nearly optimal coloring of some C4-free graphs

Baogang Xu, Ran Chen

arxiv:2409.06944 v1 · 2024-09-11 · math.CO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OF4QF6RV5Z6NBYQGG3IK4KQ626}

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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

The optimal binding function for (cap, even hole)-free graphs

Receipt and verification

First computed	2026-07-05T09:05:43.474950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

717902fa35ee7cd0e20636d0ae2a1ed7af1f97140f2e71346233f205e23368a2

Aliases

arxiv: 2409.06944 · arxiv_version: 2409.06944v1 · doi: 10.48550/arxiv.2409.06944 · pith_short_12: OF4QF6RV5Z6N · pith_short_16: OF4QF6RV5Z6NBYQG · pith_short_8: OF4QF6RV

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/OF4QF6RV5Z6NBYQGG3IK4KQ626 \
  | 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: 717902fa35ee7cd0e20636d0ae2a1ed7af1f97140f2e71346233f205e23368a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e56399f25802b2d7838d2f43f0991e200b0c1c2ea6f47454608dd4fab5ff812b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-11T01:55:23Z",
    "title_canon_sha256": "528c4b5dbca048bdcc58f2301e7483e233d2ede90318555fa4eed183257acf14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.06944",
    "kind": "arxiv",
    "version": 1
  }
}