Pith Number

pith:HTYFTYQB

pith:2010:HTYFTYQBCFCR6RP7L37BG2DUV4

not attested not anchored not stored refs pending

Rational Periodic Sequences for the Lyness Recurrence

Armengol Gasull, V\'ictor Ma\~nosa, Xavier Xarles

arxiv:1004.5511 v1 · 2010-04-30 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HTYFTYQBCFCR6RP7L37BG2DUV4}

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	2026-05-18T04:05:15.188544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cf059e20111451f45ff5efe136874af28c1652c1a1724e99d58af84834cf626

Aliases

arxiv: 1004.5511 · arxiv_version: 1004.5511v1 · doi: 10.48550/arxiv.1004.5511 · pith_short_12: HTYFTYQBCFCR · pith_short_16: HTYFTYQBCFCR6RP7 · pith_short_8: HTYFTYQB

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/HTYFTYQBCFCR6RP7L37BG2DUV4 \
  | 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: 3cf059e20111451f45ff5efe136874af28c1652c1a1724e99d58af84834cf626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52c05f89b56cff9ac243da3fd78a00782a0584a23888b4ad47fe326c8e45f865",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-04-30T12:15:41Z",
    "title_canon_sha256": "c7955456b5de49c24ad56c62e66403f2676109aa99240c47283168bc106afdeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5511",
    "kind": "arxiv",
    "version": 1
  }
}