Pith Number

pith:H7HYW723

pith:2009:H7HYW723AGQDUSLBM33KUCYLN7

not attested not anchored not stored refs pending

On two and three periodic Lyness difference equations

Anna Cima, Armengol Gasull, Victor Manosa

arxiv:0912.5031 v1 · 2009-12-26 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H7HYW723AGQDUSLBM33KUCYLN7}

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	2026-05-18T03:17:36.144313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fcf8b7f5b01a03a496166f6aa0b0b6fdc0171e4f3af52258e5b44b7800b0db1

Aliases

arxiv: 0912.5031 · arxiv_version: 0912.5031v1 · doi: 10.48550/arxiv.0912.5031 · pith_short_12: H7HYW723AGQD · pith_short_16: H7HYW723AGQDUSLB · pith_short_8: H7HYW723

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/H7HYW723AGQDUSLBM33KUCYLN7 \
  | 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: 3fcf8b7f5b01a03a496166f6aa0b0b6fdc0171e4f3af52258e5b44b7800b0db1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bced32e8a1370c2f2a0063d1b98cd505501ed8ee0ec0972dde034db282ece4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-12-26T17:31:35Z",
    "title_canon_sha256": "87e62a0eb970aa3a9fc0321f9356f4319205e6036ebbbf842c80d21c18979f7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5031",
    "kind": "arxiv",
    "version": 1
  }
}