Pith Number

pith:LHXR554D

pith:2017:LHXR554DHMGVN6TCUWBS2NXRTK

not attested not anchored not stored refs pending

Weak Modular Product of Bipartite Graphs, Bicliques and Isomorphism

Danial Dervovic, Simone Severini

arxiv:1707.05179 v2 · 2017-07-17 · math.CO · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHXR554DHMGVN6TCUWBS2NXRTK}

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	2026-05-18T00:04:39.973613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59ef1ef7833b0d56fa62a5832d36f19a934a183f7720f040b5fea724b0204c20

Aliases

arxiv: 1707.05179 · arxiv_version: 1707.05179v2 · doi: 10.48550/arxiv.1707.05179 · pith_short_12: LHXR554DHMGV · pith_short_16: LHXR554DHMGVN6TC · pith_short_8: LHXR554D

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/LHXR554DHMGVN6TCUWBS2NXRTK \
  | 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: 59ef1ef7833b0d56fa62a5832d36f19a934a183f7720f040b5fea724b0204c20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dcd3168f63d6f00607e7af9dfb37dfb1a4b4501541c9f32b6e0ff65af4095fa",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-17T14:25:48Z",
    "title_canon_sha256": "b0b23bed9881decc5e37e1f67ca38594768aab6d3268f11ed2c9e26838464d3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05179",
    "kind": "arxiv",
    "version": 2
  }
}