Pith Number

pith:7YCVTH2D

pith:2014:7YCVTH2D3QWIA5VVYGKSPIVJXE

not attested not anchored not stored refs pending

Graphs with large chromatic number induce $3k$-cycles

Marthe Bonamy, Pierre Charbit, St\'ephan Thomass\'e

arxiv:1408.2172 v1 · 2014-08-10 · cs.DM · 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{7YCVTH2D3QWIA5VVYGKSPIVJXE}

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	2026-05-18T02:45:30.152358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe05599f43dc2c8076b5c19527a2a9b926ead9a447d62e2547f4bbb1bd990cd1

Aliases

arxiv: 1408.2172 · arxiv_version: 1408.2172v1 · doi: 10.48550/arxiv.1408.2172 · pith_short_12: 7YCVTH2D3QWI · pith_short_16: 7YCVTH2D3QWIA5VV · pith_short_8: 7YCVTH2D

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/7YCVTH2D3QWIA5VVYGKSPIVJXE \
  | 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: fe05599f43dc2c8076b5c19527a2a9b926ead9a447d62e2547f4bbb1bd990cd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc554abb3db67b0dbc6a20f55113653ec42254c6b26b9b6d8ecc7c568c3b020b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-08-10T01:58:12Z",
    "title_canon_sha256": "14d668c5303c9f70dfcb5314d7b400185f8bac3ca70ba75c23e95ee4b45205f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2172",
    "kind": "arxiv",
    "version": 1
  }
}