Pith Number

pith:T7DQUVTR

pith:2015:T7DQUVTRHXU7DNMRI6SPINC2EL

not attested not anchored not stored refs pending

Geometric proof for normally hyperbolic invariant manifolds

Maciej J. Capi\'nski, Piotr Zgliczy\'nski

arxiv:1503.03323 v1 · 2015-03-11 · 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{T7DQUVTRHXU7DNMRI6SPINC2EL}

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	2026-05-18T02:25:03.830807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fc70a56713de9f1b59147a4f4345a22e5a23ab8d5303c3ce97ee1178f99930d

Aliases

arxiv: 1503.03323 · arxiv_version: 1503.03323v1 · doi: 10.48550/arxiv.1503.03323 · pith_short_12: T7DQUVTRHXU7 · pith_short_16: T7DQUVTRHXU7DNMR · pith_short_8: T7DQUVTR

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/T7DQUVTRHXU7DNMRI6SPINC2EL \
  | 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: 9fc70a56713de9f1b59147a4f4345a22e5a23ab8d5303c3ce97ee1178f99930d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "821992a49414c6ae7155115b1653e4a4b374c9b7e7a02477dc7e75185e3e6a6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-03-11T13:31:37Z",
    "title_canon_sha256": "7915cd8de026895318623c5a711e2dc3405d8aafe3ba30153ab1c16dd39bfd05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03323",
    "kind": "arxiv",
    "version": 1
  }
}