Pith Number

pith:SP5XCRBG

pith:2017:SP5XCRBGEFWIVI4W653RWUWKR3

not attested not anchored not stored refs pending

Sequences of radius $k$ for complete bipartite graphs

Micha{\l} D\k{e}bski, Pawe{\l} Rz\k{a}\.zewski, Zbigniew Lonc

arxiv:1711.05091 v1 · 2017-11-14 · cs.DM · 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{SP5XCRBGEFWIVI4W653RWUWKR3}

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	2026-05-18T00:30:34.778453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93fb714426216c8aa396f7771b52ca8ef86fde60cf29fdddc730e199a6024c3c

Aliases

arxiv: 1711.05091 · arxiv_version: 1711.05091v1 · doi: 10.48550/arxiv.1711.05091 · pith_short_12: SP5XCRBGEFWI · pith_short_16: SP5XCRBGEFWIVI4W · pith_short_8: SP5XCRBG

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/SP5XCRBGEFWIVI4W653RWUWKR3 \
  | 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: 93fb714426216c8aa396f7771b52ca8ef86fde60cf29fdddc730e199a6024c3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98af1ff748bfeea8d16a294a2ff66c074c042caf254f18658a8130eb609a7309",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-11-14T14:09:59Z",
    "title_canon_sha256": "e8e6695475748a0ec084df56fb8c86630e066cdcbd7c76bc4ca4ee4cacb2227a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05091",
    "kind": "arxiv",
    "version": 1
  }
}