Pith Number

pith:7VLZNKVT

pith:2015:7VLZNKVTQBE6YTOWA4N4XGIOZH

not attested not anchored not stored refs pending

A sufficient condition for a pair of sequences to be bipartite graphic

Grant Cairns, Stacey Mendan, Yuri Nikolayevsky

arxiv:1512.02404 v1 · 2015-12-08 · 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{7VLZNKVTQBE6YTOWA4N4XGIOZH}

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	2026-05-17T23:53:34.310096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd5796aab38049ec4dd6071bcb990ec9d3abf8e3c2ba5046ff4c09510e3cab32

Aliases

arxiv: 1512.02404 · arxiv_version: 1512.02404v1 · doi: 10.48550/arxiv.1512.02404 · pith_short_12: 7VLZNKVTQBE6 · pith_short_16: 7VLZNKVTQBE6YTOW · pith_short_8: 7VLZNKVT

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/7VLZNKVTQBE6YTOWA4N4XGIOZH \
  | 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: fd5796aab38049ec4dd6071bcb990ec9d3abf8e3c2ba5046ff4c09510e3cab32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cdd903932a9b76c771db55cc82805469f6d02f5397e9fef0b4f9bec0ed27ca1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-08T11:08:04Z",
    "title_canon_sha256": "b2af8b2073a4aa699b2b819271ec0f6024ad23a2726dbc7f2a99b7cd87719d9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02404",
    "kind": "arxiv",
    "version": 1
  }
}