Pith Number

pith:L7Q6EA7S

pith:2012:L7Q6EA7S5TMTWGC3KWRUP3PVJK

not attested not anchored not stored refs pending

On periodic solutions of 2-periodic Lyness difference equations

Guy Bastien, Marc Rogalski, Victor Ma\~nosa

arxiv:1201.1027 v2 · 2012-01-04 · math.DS · math.AG · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7Q6EA7S5TMTWGC3KWRUP3PVJK}

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	2026-05-18T03:17:36.045747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fe1e203f2ecd93b185b55a347edf54aae84ec54c778cdc6fc919bf8ffe33d49

Aliases

arxiv: 1201.1027 · arxiv_version: 1201.1027v2 · doi: 10.48550/arxiv.1201.1027 · pith_short_12: L7Q6EA7S5TMT · pith_short_16: L7Q6EA7S5TMTWGC3 · pith_short_8: L7Q6EA7S

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/L7Q6EA7S5TMTWGC3KWRUP3PVJK \
  | 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: 5fe1e203f2ecd93b185b55a347edf54aae84ec54c778cdc6fc919bf8ffe33d49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8377177cbd119bf03f491177c1f0463be2e953a9c315801081d4f054c443c863",
    "cross_cats_sorted": [
      "math.AG",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-01-04T22:27:43Z",
    "title_canon_sha256": "bbae0a3205cf7fd7c28d806ac4f46e3e5ede351d8980fb6137bd7a5de4182cef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1027",
    "kind": "arxiv",
    "version": 2
  }
}