Pith Number

pith:2OA67FGR

pith:2011:2OA67FGRMZ76MHAAJNJKMSMWDK

not attested not anchored not stored refs pending

Non-autonomous 2-periodic Gumovski-Mira difference equations

Anna Cima, Armengol Gasull, Victor Ma\~nosa

arxiv:1106.0318 v1 · 2011-06-01 · 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{2OA67FGRMZ76MHAAJNJKMSMWDK}

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	2026-05-18T03:17:36.078109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d381ef94d1667fe61c004b52a649961aa440b6540851d9b072d58ff3f25726bf

Aliases

arxiv: 1106.0318 · arxiv_version: 1106.0318v1 · doi: 10.48550/arxiv.1106.0318 · pith_short_12: 2OA67FGRMZ76 · pith_short_16: 2OA67FGRMZ76MHAA · pith_short_8: 2OA67FGR

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/2OA67FGRMZ76MHAAJNJKMSMWDK \
  | 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: d381ef94d1667fe61c004b52a649961aa440b6540851d9b072d58ff3f25726bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9df98fa716b5249836b8cf59e32b1d9e8e61714ef363ea923fa314e0e977780",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-06-01T20:57:21Z",
    "title_canon_sha256": "655fe8306db5cba7fbe43f1edfdc64652cacfab2f5cd2e26e3606fffcd0af9b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0318",
    "kind": "arxiv",
    "version": 1
  }
}