Pith Number

pith:GCSW452W

pith:2016:GCSW452W7WEWOUDWVI3GVNFLJE

not attested not anchored not stored refs pending

On Certain $J$-Colouring Parameters of Graphs

Sudev Naduvath

arxiv:1612.04194 v2 · 2016-12-11 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCSW452W7WEWOUDWVI3GVNFLJE}

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	2026-05-18T00:45:19.758820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30a56e7756fd89675076aa366ab4ab491599115e9b30fdc31cb5197077f0e74e

Aliases

arxiv: 1612.04194 · arxiv_version: 1612.04194v2 · doi: 10.48550/arxiv.1612.04194 · pith_short_12: GCSW452W7WEW · pith_short_16: GCSW452W7WEWOUDW · pith_short_8: GCSW452W

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/GCSW452W7WEWOUDWVI3GVNFLJE \
  | 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: 30a56e7756fd89675076aa366ab4ab491599115e9b30fdc31cb5197077f0e74e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81f1f732ab5686d8bbc49e6852374385e4b7e202236d659dd2bed33035988a86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2016-12-11T04:18:35Z",
    "title_canon_sha256": "66c48d106e0d9d1ed23c411e10be261decb4c177bba4cbb513ed1115d75bc742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04194",
    "kind": "arxiv",
    "version": 2
  }
}