Pith Number

pith:KTL3QQRI

pith:2014:KTL3QQRIQOFG4GC6S6NC2EB44K

not attested not anchored not stored refs pending

Exponentially small lower bounds for the splitting of separatrices to whiskered tori with frequencies of constant type

Amadeu Delshams, Marina Gonchenko, Pere Guti\'errez

arxiv:1402.1654 v1 · 2014-02-07 · 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{KTL3QQRIQOFG4GC6S6NC2EB44K}

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	2026-05-18T01:44:46.420458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54d7b84228838a6e185e979a2d103ce2a552b72b6012931b3ece5829a09b5071

Aliases

arxiv: 1402.1654 · arxiv_version: 1402.1654v1 · doi: 10.48550/arxiv.1402.1654 · pith_short_12: KTL3QQRIQOFG · pith_short_16: KTL3QQRIQOFG4GC6 · pith_short_8: KTL3QQRI

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/KTL3QQRIQOFG4GC6S6NC2EB44K \
  | 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: 54d7b84228838a6e185e979a2d103ce2a552b72b6012931b3ece5829a09b5071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ed90bbd145f3d2abb6520b6afa9b0f2fcf12db7bfe7d80206b41eff91dfd411",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-02-07T14:42:00Z",
    "title_canon_sha256": "0112f6b52937127826edd95363b74397318ef11a237a65cfb784abcd7092a5f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1654",
    "kind": "arxiv",
    "version": 1
  }
}