Pith Number

pith:Z3766KZM

pith:2011:Z3766KZMQQ3W4QPS2BXGAGCMGH

not attested not anchored not stored refs pending

A degree condition for cycles of maximum length in bipartite digraphs

Janusz Adamus, Lech Adamus

arxiv:1101.4973 v2 · 2011-01-25 · 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{Z3766KZMQQ3W4QPS2BXGAGCMGH}

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	2026-05-18T04:05:27.684685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceffef2b2c84376e41f2d06e60184c31d3efb96865c06e72fb482cb9ece72117

Aliases

arxiv: 1101.4973 · arxiv_version: 1101.4973v2 · doi: 10.48550/arxiv.1101.4973 · pith_short_12: Z3766KZMQQ3W · pith_short_16: Z3766KZMQQ3W4QPS · pith_short_8: Z3766KZM

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/Z3766KZMQQ3W4QPS2BXGAGCMGH \
  | 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: ceffef2b2c84376e41f2d06e60184c31d3efb96865c06e72fb482cb9ece72117

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d10ac54c50400441e33253eb82b465a1d7ae2a842f2de31b44908246349b497",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-25T23:22:08Z",
    "title_canon_sha256": "01c2515ce635aa4b23abc353bdf1ccdecb070d3b705de19a350b324244e05822"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4973",
    "kind": "arxiv",
    "version": 2
  }
}