Pith Number

pith:Q2NXUV3E

pith:2024:Q2NXUV3E2C4QJFKXXTNIIGG6OW

not attested not anchored not stored refs pending

Equitable Dominator Coloring of Graphs

Phebe Sarah George, S.Madhumitha, Sudev Naduvath

arxiv:2408.14374 v2 · 2024-08-26 · 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{Q2NXUV3E2C4QJFKXXTNIIGG6OW}

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	2026-06-23T02:13:13.076503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

869b7a5764d0b9049557bcda8418de75b5220450536292b6abc9bfbb64f3fe33

Aliases

arxiv: 2408.14374 · arxiv_version: 2408.14374v2 · doi: 10.48550/arxiv.2408.14374 · pith_short_12: Q2NXUV3E2C4Q · pith_short_16: Q2NXUV3E2C4QJFKX · pith_short_8: Q2NXUV3E

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/Q2NXUV3E2C4QJFKXXTNIIGG6OW \
  | 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: 869b7a5764d0b9049557bcda8418de75b5220450536292b6abc9bfbb64f3fe33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41ce89cf180cad66aba2233eb50dd0619e893dd04108a8cc95b3f85825440da3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-08-26T15:55:47Z",
    "title_canon_sha256": "2d6af7be8c732f9e8fe04fb1caccda0966ff8c9a8c05d85cee27a2a455d9afd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.14374",
    "kind": "arxiv",
    "version": 2
  }
}