Pith Number

pith:GGLSBI67

pith:2012:GGLSBI67PDWYR63ITAHGS7GIYM

not attested not anchored not stored refs pending

Rotation number of a unimodular cycle: an elementary approach

Rade T. Zivaljevic

arxiv:1209.4981 v4 · 2012-09-22 · math.MG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGLSBI67PDWYR63ITAHGS7GIYM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:18:06.342184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

319720a3df78ed88fb68980e697cc8c319cae129165ca8cb3cb16e6cc4f1aeb1

Aliases

arxiv: 1209.4981 · arxiv_version: 1209.4981v4 · doi: 10.48550/arxiv.1209.4981 · pith_short_12: GGLSBI67PDWY · pith_short_16: GGLSBI67PDWYR63I · pith_short_8: GGLSBI67

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/GGLSBI67PDWYR63ITAHGS7GIYM \
  | 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: 319720a3df78ed88fb68980e697cc8c319cae129165ca8cb3cb16e6cc4f1aeb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a20e760d631fa0dd65b785f9040e27ba226ef28a36ed296e0eddd637636f5ff6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-09-22T10:31:03Z",
    "title_canon_sha256": "596aa7941ca447cf9d1352dc7f2022681ffe38bff36d5d040bfdc53d7f79e8ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4981",
    "kind": "arxiv",
    "version": 4
  }
}