Pith Number

pith:NFVBK3SY

pith:2020:NFVBK3SY7QOC6SGHXCAIBWPZEQ

not attested not anchored not stored refs pending

Hierarchical and Modularly-Minimal Vertex Colorings

Dulce I. Valdivia, Manuela Gei{\ss}, Marc Hellmuth, Maribel Hern\'andez Rosales, Peter F. Stadler

arxiv:2004.06340 v1 · 2020-04-14 · math.CO · cs.DM · cs.DS · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFVBK3SY7QOC6SGHXCAIBWPZEQ}

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	2026-07-05T00:54:51.088993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

696a156e58fc1c2f48c7b88080d9f92404de3051fcefd0537dda668e2dd276ed

Aliases

arxiv: 2004.06340 · arxiv_version: 2004.06340v1 · doi: 10.48550/arxiv.2004.06340 · pith_short_12: NFVBK3SY7QOC · pith_short_16: NFVBK3SY7QOC6SGH · pith_short_8: NFVBK3SY

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/NFVBK3SY7QOC6SGHXCAIBWPZEQ \
  | 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: 696a156e58fc1c2f48c7b88080d9f92404de3051fcefd0537dda668e2dd276ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f96687116c78de15cff6b3a0d9067776e5791965a98d0e0b8da2471abd8cecf",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-04-14T07:52:53Z",
    "title_canon_sha256": "30f5c9b3a80bac3887289fce4ab6527bf3817959d1a2172d328de60284affea7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.06340",
    "kind": "arxiv",
    "version": 1
  }
}