Pith Number

pith:2H6YB4DA

pith:2011:2H6YB4DABTBSISMG2RR5MUQXPF

not attested not anchored not stored refs pending

New results in $t$-tone coloring of graphs

Daniel W. Cranston, Jaehoon Kim, William B. Kinnersley

arxiv:1108.4751 v1 · 2011-08-24 · 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{2H6YB4DABTBSISMG2RR5MUQXPF}

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	2026-05-18T01:35:53.089664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1fd80f0600cc3244986d463d65217797f18121d57ca68b45e4b63c4d1bdf9c9

Aliases

arxiv: 1108.4751 · arxiv_version: 1108.4751v1 · doi: 10.48550/arxiv.1108.4751 · pith_short_12: 2H6YB4DABTBS · pith_short_16: 2H6YB4DABTBSISMG · pith_short_8: 2H6YB4DA

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/2H6YB4DABTBSISMG2RR5MUQXPF \
  | 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: d1fd80f0600cc3244986d463d65217797f18121d57ca68b45e4b63c4d1bdf9c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "448702e093e53ff792daf288c9e152e9f02070a3f1f2b18762484619859c590c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-24T06:10:56Z",
    "title_canon_sha256": "1e7653590c317bfb896521ccfdcda6f53c28431150881face5c860ab04fbaf45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4751",
    "kind": "arxiv",
    "version": 1
  }
}