Pith Number

pith:BIAP35IE

pith:2018:BIAP35IEWZGOIWFTNOMVUBF22P

not attested not anchored not stored refs pending

On the null structure of bipartite graphs without cycles of length a multiple of 4

Adri\'an Pastine, Daniel A. Jaume, Gonzalo Molina

arxiv:1810.05802 v1 · 2018-10-13 · 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{BIAP35IEWZGOIWFTNOMVUBF22P}

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	2026-05-18T00:03:26.894891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a00fdf504b64ce458b36b995a04bad3cc396732002c321e67e603403c8b4b9b

Aliases

arxiv: 1810.05802 · arxiv_version: 1810.05802v1 · doi: 10.48550/arxiv.1810.05802 · pith_short_12: BIAP35IEWZGO · pith_short_16: BIAP35IEWZGOIWFT · pith_short_8: BIAP35IE

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/BIAP35IEWZGOIWFTNOMVUBF22P \
  | 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: 0a00fdf504b64ce458b36b995a04bad3cc396732002c321e67e603403c8b4b9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "455dc04ee776d3c6e517cef63e93b0c68be17eb86f8744e33f7a0654dec461e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-13T06:08:08Z",
    "title_canon_sha256": "d01b18e3ac44b9e19f3e517ce1879655ba4901b4e0a100bc58d4366fe778f713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05802",
    "kind": "arxiv",
    "version": 1
  }
}