Pith Number

pith:ZG2O7RKX

pith:2025:ZG2O7RKXVYSW2JZI567T2YPYOV

not attested not anchored not stored refs pending

The r-Dynamic Chromatic Number is Bounded in the Strong 2-Coloring Number

Miriam Goetze, Torsten Ueckerdt

arxiv:2501.13617 v1 · 2025-01-23 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZG2O7RKXVYSW2JZI567T2YPYOV}

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	2026-07-05T10:04:31.644049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9b4efc557ae256d2728efbf3d61f8754485b6ec1e07e6d904f26f0ab00b811b

Aliases

arxiv: 2501.13617 · arxiv_version: 2501.13617v1 · doi: 10.48550/arxiv.2501.13617 · pith_short_12: ZG2O7RKXVYSW · pith_short_16: ZG2O7RKXVYSW2JZI · pith_short_8: ZG2O7RKX

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/ZG2O7RKXVYSW2JZI567T2YPYOV \
  | 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: c9b4efc557ae256d2728efbf3d61f8754485b6ec1e07e6d904f26f0ab00b811b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cd96c7401c4ef71979b408fd5c719fe277055a61e01a75e33309ce938fc4f8a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-23T12:38:15Z",
    "title_canon_sha256": "ba0a160d0c6844e4f1de47ded768d736ef2f500752d398afb59a7fa658703f23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.13617",
    "kind": "arxiv",
    "version": 1
  }
}