Pith Number

pith:KUC7CZA4

pith:2016:KUC7CZA4WUOYT3XE2RTO7753KC

not attested not anchored not stored refs pending

Generations of solvable discrete-time dynamical systems

Francesco Calogero, Oksana Bihun

arxiv:1606.07278 v1 · 2016-06-23 · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KUC7CZA4WUOYT3XE2RTO7753KC}

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	2026-05-18T00:43:02.675881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5505f1641cb51d89eee4d466efffbb50aac1e4f3df759a13b336118ee9eef3e9

Aliases

arxiv: 1606.07278 · arxiv_version: 1606.07278v1 · doi: 10.48550/arxiv.1606.07278 · pith_short_12: KUC7CZA4WUOY · pith_short_16: KUC7CZA4WUOYT3XE · pith_short_8: KUC7CZA4

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/KUC7CZA4WUOYT3XE2RTO7753KC \
  | 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: 5505f1641cb51d89eee4d466efffbb50aac1e4f3df759a13b336118ee9eef3e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c1a383ebf10c87411633162ffe2254edb93abed59547b111eb80abe6524d522",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-06-23T12:03:31Z",
    "title_canon_sha256": "907b11cd473540332e3c464b574def541dbd74d25bbdb5f742840267794b1660"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07278",
    "kind": "arxiv",
    "version": 1
  }
}