Pith Number

pith:675R3MEK

pith:2011:675R3MEKQS257KOX73YYHII3EY

not attested not anchored not stored refs pending

Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation

Marcel Guardia, Tere M. Seara

arxiv:1107.6042 v1 · 2011-07-29 · 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{675R3MEKQS257KOX73YYHII3EY}

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	2026-05-18T02:01:05.519336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7fb1db08a84b5dfa9d7fef183a11b2626f619f596b32fbbab0355f9bd80c08d

Aliases

arxiv: 1107.6042 · arxiv_version: 1107.6042v1 · doi: 10.48550/arxiv.1107.6042 · pith_short_12: 675R3MEKQS25 · pith_short_16: 675R3MEKQS257KOX · pith_short_8: 675R3MEK

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/675R3MEKQS257KOX73YYHII3EY \
  | 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: f7fb1db08a84b5dfa9d7fef183a11b2626f619f596b32fbbab0355f9bd80c08d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27c09576d753bff76c85cc5d3e0425544dc983d1ecad8a4d7cdc24bdabb67123",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-07-29T19:29:21Z",
    "title_canon_sha256": "6807d015c13e7ca6089527134f19632cacde61a395573eebb7b0204603db34a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.6042",
    "kind": "arxiv",
    "version": 1
  }
}