Pith Number

pith:CW3Q5VIR

pith:2025:CW3Q5VIRXVTEJB5PM2CFW4GMNJ

not attested not anchored not stored refs pending

The Complexity of Color-constrained Paths in Semicomplete Multipartite Digraphs

Julian Brinkmann

arxiv:2507.15667 v2 · 2025-07-21 · 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{CW3Q5VIRXVTEJB5PM2CFW4GMNJ}

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	2026-06-26T01:15:44.992964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15b70ed511bd664487af66845b70cc6a53c819a2272a3cf695169a6c689ce647

Aliases

arxiv: 2507.15667 · arxiv_version: 2507.15667v2 · doi: 10.48550/arxiv.2507.15667 · pith_short_12: CW3Q5VIRXVTE · pith_short_16: CW3Q5VIRXVTEJB5P · pith_short_8: CW3Q5VIR

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/CW3Q5VIRXVTEJB5PM2CFW4GMNJ \
  | 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: 15b70ed511bd664487af66845b70cc6a53c819a2272a3cf695169a6c689ce647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d0ca82def13198e1de4b29c58563a25bddd402b313e83202742a0fa0e72e73d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-21T14:32:47Z",
    "title_canon_sha256": "f5bcc8e0a355ba4e39523016e8d8d5c64ece86080d4b8819d5bd0e8ce88bd856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15667",
    "kind": "arxiv",
    "version": 2
  }
}