Pith Number

pith:MPA3F2K6

pith:2008:MPA3F2K6O2XNJVSG4MMRZWA2MZ

not attested not anchored not stored refs pending

Some properties of the k-dimensional Lyness' map

Anna Cima, Armengol Gasull, Victor Manosa

arxiv:0801.4360 v1 · 2008-01-28 · math.DS · math-ph · 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{MPA3F2K6O2XNJVSG4MMRZWA2MZ}

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	2026-05-18T04:32:53.636090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63c1b2e95e76aed4d646e3191cd81a66578ff133865e8357b729961f6879b032

Aliases

arxiv: 0801.4360 · arxiv_version: 0801.4360v1 · doi: 10.48550/arxiv.0801.4360 · pith_short_12: MPA3F2K6O2XN · pith_short_16: MPA3F2K6O2XNJVSG · pith_short_8: MPA3F2K6

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/MPA3F2K6O2XNJVSG4MMRZWA2MZ \
  | 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: 63c1b2e95e76aed4d646e3191cd81a66578ff133865e8357b729961f6879b032

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93f6f8aa3111578ed295c6698b6db9d581b7ca85dd4bb88b135a75de69f6468a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2008-01-28T19:00:23Z",
    "title_canon_sha256": "812ae042f2cde1f89991eaa1b8b7b2cf5edf2118c7cacb2db3d3d7c4a1b5a97c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.4360",
    "kind": "arxiv",
    "version": 1
  }
}