Pith Number

pith:NA37T6V2

pith:2026:NA37T6V26DUEGEUJAASSG2FYJL

not attested not anchored not stored refs pending

An introduction to equitable DP coloring of graphs

Alexandr Kostochka, H. A. Kierstead, Zimu Xiang

arxiv:2605.17783 v1 · 2026-05-18 · 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{NA37T6V26DUEGEUJAASSG2FYJL}

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	2026-05-20T00:04:57.957204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6837f9fabaf0e843128900252368b84ae880bc9dacc637bc24792ada081795ff

Aliases

arxiv: 2605.17783 · arxiv_version: 2605.17783v1 · doi: 10.48550/arxiv.2605.17783 · pith_short_12: NA37T6V26DUE · pith_short_16: NA37T6V26DUEGEUJ · pith_short_8: NA37T6V2

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/NA37T6V26DUEGEUJAASSG2FYJL \
  | 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: 6837f9fabaf0e843128900252368b84ae880bc9dacc637bc24792ada081795ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b106c6ab7deec9f67ac3b5037c4fb79763b868df5e091fdf35db5f0d137c2612",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-18T03:02:15Z",
    "title_canon_sha256": "fee9f6d8e10554bcb1a7dcc9492bcd2dbd93c07814a2375e372b2a893c029b79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17783",
    "kind": "arxiv",
    "version": 1
  }
}