Pith Number

pith:W5QJUHYL

pith:2019:W5QJUHYLGNHLLPIFSRO7TKWVRW

not attested not anchored not stored refs pending

Long monochromatic paths and cycles in 2-edge-colored multipartite graphs

Alexandr Kostochka, J\'ozsef Balogh, Mikhail Lavrov, Xujun Liu

arxiv:1905.04657 v1 · 2019-05-12 · 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{W5QJUHYLGNHLLPIFSRO7TKWVRW}

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	2026-05-17T23:46:24.052646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7609a1f0b334eb5bd05945df9aad58d9bf61e0c97c7076285ccb3705f1ab3c8

Aliases

arxiv: 1905.04657 · arxiv_version: 1905.04657v1 · doi: 10.48550/arxiv.1905.04657 · pith_short_12: W5QJUHYLGNHL · pith_short_16: W5QJUHYLGNHLLPIF · pith_short_8: W5QJUHYL

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/W5QJUHYLGNHLLPIFSRO7TKWVRW \
  | 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: b7609a1f0b334eb5bd05945df9aad58d9bf61e0c97c7076285ccb3705f1ab3c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87db5a57fad76c0e0ce9e64c4ae462b18d20c7a10e89542d7ffbf5fb58fe46ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-12T06:39:06Z",
    "title_canon_sha256": "d2ec757b7a0ceb57f74d54bc5733aabe902ed6869f95643d2f98d162af7baaf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04657",
    "kind": "arxiv",
    "version": 1
  }
}