Pith Number

pith:LSHXJV7W

pith:2026:LSHXJV7WYZFGXZ56FIJZ6XG3PO

not attested not anchored not stored refs pending

Completely Reachable Road Coloring

Mikhail V. Volkov, Yinfeng Zhu

arxiv:2607.12078 v1 · 2026-07-13 · cs.FL · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LSHXJV7WYZFGXZ56FIJZ6XG3PO}

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	2026-07-15T00:21:32.026268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c8f74d7f6c64a6be7be2a139f5cdb7bb8ccd7db5e77bb32041d5fa0be1625be

Aliases

arxiv: 2607.12078 · arxiv_version: 2607.12078v1 · doi: 10.48550/arxiv.2607.12078 · pith_short_12: LSHXJV7WYZFG · pith_short_16: LSHXJV7WYZFGXZ56 · pith_short_8: LSHXJV7W

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/LSHXJV7WYZFGXZ56FIJZ6XG3PO \
  | 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: 5c8f74d7f6c64a6be7be2a139f5cdb7bb8ccd7db5e77bb32041d5fa0be1625be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a4d7090961fe86527c334a551fc7102e1610646ec38b4956d519b15cb76fe64",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2026-07-13T18:55:05Z",
    "title_canon_sha256": "1ce4c79705186196c4038fa5b4aab92ff56744d73013d5520fdc4874c2b7de04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12078",
    "kind": "arxiv",
    "version": 1
  }
}