Pith Number

pith:5AS3LE7K

pith:2012:5AS3LE7KF4YMPO4BI3KI5V75V2

not attested not anchored not stored refs pending

A strong form of Arnold diffusion for two and a half degrees of freedom

Ke Zhang, Vadim Kaloshin

arxiv:1212.1150 v3 · 2012-12-05 · 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{5AS3LE7KF4YMPO4BI3KI5V75V2}

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	2026-05-18T00:19:04.911040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e825b593ea2f30c7bb8146d48ed7fdae9fb09eb46a2f675d950d2a34fe42e277

Aliases

arxiv: 1212.1150 · arxiv_version: 1212.1150v3 · doi: 10.48550/arxiv.1212.1150 · pith_short_12: 5AS3LE7KF4YM · pith_short_16: 5AS3LE7KF4YMPO4B · pith_short_8: 5AS3LE7K

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/5AS3LE7KF4YMPO4BI3KI5V75V2 \
  | 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: e825b593ea2f30c7bb8146d48ed7fdae9fb09eb46a2f675d950d2a34fe42e277

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35f495100d66cce25c4f3c4028a6250d99368f109cc8340724f6df583210259f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-12-05T20:28:09Z",
    "title_canon_sha256": "c21ebad93200e13b5ea6be732bd8e273f74bcc71b57ff58b127da094a6f783e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1150",
    "kind": "arxiv",
    "version": 3
  }
}