Pith Number

pith:FHX2632Z

pith:2014:FHX2632ZGWBJZSE563WVCNE3MP

not attested not anchored not stored refs pending

Solution of Vizing's Problem on Interchanges for Graphs with Maximum Degree 4 and Related Results

Armen S. Asratian, Carl Johan Casselgren

arxiv:1403.5807 v1 · 2014-03-23 · 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{FHX2632ZGWBJZSE563WVCNE3MP}

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	2026-05-18T02:55:48.855502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29efaf6f5935829cc89df6ed51349b63d2076bcc4f23a9ca0beae9f46c6e3601

Aliases

arxiv: 1403.5807 · arxiv_version: 1403.5807v1 · doi: 10.48550/arxiv.1403.5807 · pith_short_12: FHX2632ZGWBJ · pith_short_16: FHX2632ZGWBJZSE5 · pith_short_8: FHX2632Z

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/FHX2632ZGWBJZSE563WVCNE3MP \
  | 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: 29efaf6f5935829cc89df6ed51349b63d2076bcc4f23a9ca0beae9f46c6e3601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "042b682c5de35d3bea5fbcad696bfbe0aa78fd33b9ac40a7121dc387d0c31c17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-23T21:49:04Z",
    "title_canon_sha256": "51e2bece9f616a7aba98990098041cb3d30e6351435cee1f310ad18488817a57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5807",
    "kind": "arxiv",
    "version": 1
  }
}