Pith Number

pith:W3XVKBZH

pith:2013:W3XVKBZHAVVDB37SFWMQ7Z54QC

not attested not anchored not stored refs pending

Tiling in bipartite graphs with asymmetric minimum degrees

Andrzej Czygrinow, Louis DeBiasio

arxiv:1310.0481 v1 · 2013-10-01 · 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{W3XVKBZHAVVDB37SFWMQ7Z54QC}

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	2026-05-18T03:11:35.178677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6ef550727056a30eff22d990fe7bc808156cd835ee92f7f2971f60876d25111

Aliases

arxiv: 1310.0481 · arxiv_version: 1310.0481v1 · doi: 10.48550/arxiv.1310.0481 · pith_short_12: W3XVKBZHAVVD · pith_short_16: W3XVKBZHAVVDB37S · pith_short_8: W3XVKBZH

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/W3XVKBZHAVVDB37SFWMQ7Z54QC \
  | 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: b6ef550727056a30eff22d990fe7bc808156cd835ee92f7f2971f60876d25111

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ae8e5018d85ec033645c74b430798cf5498de2537ee4dcaa20151edeb2453c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-01T20:25:02Z",
    "title_canon_sha256": "02526ec335160c052d624a27451bf90ee23a5752a85c80035ef105ffd9613f92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0481",
    "kind": "arxiv",
    "version": 1
  }
}