Pith Number

pith:RXTMQ56L

pith:2018:RXTMQ56LAH6YOOI2EL5LVRGFB5

not attested not anchored not stored refs pending

Long monochromatic paths and cycles in 2-colored bipartite graphs

Louis DeBiasio, Robert A. Krueger

arxiv:1806.05119 v1 · 2018-06-13 · 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{RXTMQ56LAH6YOOI2EL5LVRGFB5}

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	2026-05-18T00:13:20.086642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8de6c877cb01fd87391a22fabac4c50f4d09750a83a77f0e54e0b174cb1d6a37

Aliases

arxiv: 1806.05119 · arxiv_version: 1806.05119v1 · doi: 10.48550/arxiv.1806.05119 · pith_short_12: RXTMQ56LAH6Y · pith_short_16: RXTMQ56LAH6YOOI2 · pith_short_8: RXTMQ56L

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/RXTMQ56LAH6YOOI2EL5LVRGFB5 \
  | 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: 8de6c877cb01fd87391a22fabac4c50f4d09750a83a77f0e54e0b174cb1d6a37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cbdfee6b6b8e229eccd0cd513ad283950c363639a913a865f6cfa23349ac31a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-13T15:45:26Z",
    "title_canon_sha256": "4003d505cd2e704b8b6b5a7f0dc7eef40d269dbe84fdfa8af467298dc77e339e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05119",
    "kind": "arxiv",
    "version": 1
  }
}