Pith Number

pith:7Y2XB5R4

pith:2011:7Y2XB5R4E43WWFUNXPJRHCOSPO

not attested not anchored not stored refs pending

Arnold diffusion in arbitrary degrees of freedom and crumpled 3-dimensional normally hyperbolic invariant cylinders

Ke Zhang, Patrick Bernard, Vadim Kaloshin

arxiv:1112.2773 v2 · 2011-12-13 · 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{7Y2XB5R4E43WWFUNXPJRHCOSPO}

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	2026-05-18T04:06:07.402298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe3570f63c27376b168dbbd31389d27ba02218761e989797ff29ff6e67902736

Aliases

arxiv: 1112.2773 · arxiv_version: 1112.2773v2 · doi: 10.48550/arxiv.1112.2773 · pith_short_12: 7Y2XB5R4E43W · pith_short_16: 7Y2XB5R4E43WWFUN · pith_short_8: 7Y2XB5R4

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/7Y2XB5R4E43WWFUNXPJRHCOSPO \
  | 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: fe3570f63c27376b168dbbd31389d27ba02218761e989797ff29ff6e67902736

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "472cc65036bbb1d37ac34fc57ae563ed32e852b4281320c7544a2cfed6328474",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-12-13T02:08:43Z",
    "title_canon_sha256": "0c8f16f189216df4f5f18b541e779106d01bfc94d4be6a57b2f0c97048a70248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2773",
    "kind": "arxiv",
    "version": 2
  }
}