Pith Number

pith:SPMESDLF

pith:2015:SPMESDLFYPGCLDSTYXUX32NO2X

not attested not anchored not stored refs pending

Exponentially small splitting of separatrices and transversality associated to whiskered tori with quadratic frequency ratio

Amadeu Delshams, Marina Gonchenko, Pere Guti\'errez

arxiv:1507.07397 v2 · 2015-07-27 · 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{SPMESDLFYPGCLDSTYXUX32NO2X}

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	2026-05-18T01:24:18.648712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93d8490d65c3cc258e53c5e97de9aed5edc67c0ca2a1289981794a14d57b729f

Aliases

arxiv: 1507.07397 · arxiv_version: 1507.07397v2 · doi: 10.48550/arxiv.1507.07397 · pith_short_12: SPMESDLFYPGC · pith_short_16: SPMESDLFYPGCLDST · pith_short_8: SPMESDLF

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/SPMESDLFYPGCLDSTYXUX32NO2X \
  | 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: 93d8490d65c3cc258e53c5e97de9aed5edc67c0ca2a1289981794a14d57b729f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd4cfe4b30d21dfe9081407badf08a7c741f78638577b458990bcb0c3bc73010",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-27T13:30:39Z",
    "title_canon_sha256": "19ec4b8476a07ca1563a7c995cf8be5a41c5af11bfa6839b773fba520eb410e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07397",
    "kind": "arxiv",
    "version": 2
  }
}