Pith Number

pith:TQWDURR3

pith:2016:TQWDURR32SLNTWM5LILHTCKZUH

not attested not anchored not stored refs pending

Approximately coloring graphs without long induced paths

Maria Chudnovsky, Maya Stein, Mingxian Zhong, Oliver Schaudt, Sophie Spirkl

arxiv:1606.02967 v2 · 2016-06-09 · math.CO · cs.DM · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQWDURR32SLNTWM5LILHTCKZUH}

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	2026-05-18T01:12:32.456691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c2c3a463bd496d9d99d5a16798959a1e8ca4681de02afa95face5ad75afe1c3

Aliases

arxiv: 1606.02967 · arxiv_version: 1606.02967v2 · doi: 10.48550/arxiv.1606.02967 · pith_short_12: TQWDURR32SLN · pith_short_16: TQWDURR32SLNTWM5 · pith_short_8: TQWDURR3

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/TQWDURR32SLNTWM5LILHTCKZUH \
  | 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: 9c2c3a463bd496d9d99d5a16798959a1e8ca4681de02afa95face5ad75afe1c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4372c320403cb66663ff8e9ce7b2ed57c3321a97443cf77d425e7b217796d00d",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-09T14:04:09Z",
    "title_canon_sha256": "622ef9bd0e9af186aad7386bc6f15a7413477a85d9e75bed8354f7858ad79f8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02967",
    "kind": "arxiv",
    "version": 2
  }
}