Pith Number

pith:3ZHW7KZZ

pith:2012:3ZHW7KZZ3JMTGZHZP3EANNVCHD

not attested not anchored not stored refs pending

It was not known about simple cycles

R.R. Kamalian

arxiv:1205.0128 v1 · 2012-05-01 · cs.DM · 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{3ZHW7KZZ3JMTGZHZP3EANNVCHD}

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	2026-05-18T03:56:35.808068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de4f6fab39da593364f97ec806b6a238df45ac370db85f3556cfcc8c6a16428d

Aliases

arxiv: 1205.0128 · arxiv_version: 1205.0128v1 · doi: 10.48550/arxiv.1205.0128 · pith_short_12: 3ZHW7KZZ3JMT · pith_short_16: 3ZHW7KZZ3JMTGZHZ · pith_short_8: 3ZHW7KZZ

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/3ZHW7KZZ3JMTGZHZP3EANNVCHD \
  | 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: de4f6fab39da593364f97ec806b6a238df45ac370db85f3556cfcc8c6a16428d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c6932f94655a0922629f68082b4165edde144cf9ebfbd3fac72818bb66067ab",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-05-01T10:38:18Z",
    "title_canon_sha256": "154259ea96ae0e0873e28f62b3662fd58c311c95b325a4566565522a6f0bfe28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0128",
    "kind": "arxiv",
    "version": 1
  }
}