Pith Number

pith:E4RB3KJ5

pith:2017:E4RB3KJ5RWZULFZD3EU26CKKWS

not attested not anchored not stored refs pending

Dolgopyat's method and the fractal uncertainty principle

Long Jin, Semyon Dyatlov

arxiv:1702.03619 v2 · 2017-02-13 · math.CA · math.AP · math.DS · math.SP · nlin.CD

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4RB3KJ5RWZULFZD3EU26CKKWS}

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	2026-05-18T00:15:24.581571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27221da93d8db3459723d929af094ab4a11b35651b7bb15f156bc7ac2a2b3168

Aliases

arxiv: 1702.03619 · arxiv_version: 1702.03619v2 · doi: 10.48550/arxiv.1702.03619 · pith_short_12: E4RB3KJ5RWZU · pith_short_16: E4RB3KJ5RWZULFZD · pith_short_8: E4RB3KJ5

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/E4RB3KJ5RWZULFZD3EU26CKKWS \
  | 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: 27221da93d8db3459723d929af094ab4a11b35651b7bb15f156bc7ac2a2b3168

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e12c37d0abb239e0324960e9e64ad53d2551e79885786ac43c17a50e60aad57",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS",
      "math.SP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-02-13T03:45:32Z",
    "title_canon_sha256": "cca95fe0f80b93c30eda311d48f6835c2bedfc8c747f68177d7626c484b3987c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03619",
    "kind": "arxiv",
    "version": 2
  }
}