Pith Number

pith:KAP2AJWA

pith:2010:KAP2AJWAWVPLBSYD4LHSW4JVFO

not attested not anchored not stored refs pending

Perturbation of the Lyapunov spectra of periodic orbits

Christian Bonatti, Jairo Bochi

arxiv:1004.5029 v3 · 2010-04-28 · 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{KAP2AJWAWVPLBSYD4LHSW4JVFO}

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	2026-05-18T02:24:15.443135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

501fa026c0b55eb0cb03e2cf2b71352b9d0583e23bd42f7c2840ca0be591c004

Aliases

arxiv: 1004.5029 · arxiv_version: 1004.5029v3 · doi: 10.48550/arxiv.1004.5029 · pith_short_12: KAP2AJWAWVPL · pith_short_16: KAP2AJWAWVPLBSYD · pith_short_8: KAP2AJWA

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/KAP2AJWAWVPLBSYD4LHSW4JVFO \
  | 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: 501fa026c0b55eb0cb03e2cf2b71352b9d0583e23bd42f7c2840ca0be591c004

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a682a415edd4bb1ffa526042a5c6e638988b53ee91667ea82bf1e20cdb2dd811",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-04-28T13:42:23Z",
    "title_canon_sha256": "f97cd1b5c884bcd82a391ba6d5d18b9c9a7dbc4a2d200b941e6f0187ad27fcd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5029",
    "kind": "arxiv",
    "version": 3
  }
}