Pith Number

pith:ZKEUYW3W

pith:2016:ZKEUYW3WNJOZNLYEBWVA7E5U6Q

not attested not anchored not stored refs pending

Resonances for open quantum maps and a fractal uncertainty principle

Long Jin, Semyon Dyatlov

arxiv:1608.02238 v3 · 2016-08-07 · math.SP · math-ph · math.AP · math.MP · 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{ZKEUYW3WNJOZNLYEBWVA7E5U6Q}

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	2026-05-18T00:45:01.560276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca894c5b766a5d96af040daa0f93b4f424fa06865ef4bd93cb5defb7b2efd5ca

Aliases

arxiv: 1608.02238 · arxiv_version: 1608.02238v3 · doi: 10.48550/arxiv.1608.02238 · pith_short_12: ZKEUYW3WNJOZ · pith_short_16: ZKEUYW3WNJOZNLYE · pith_short_8: ZKEUYW3W

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/ZKEUYW3WNJOZNLYEBWVA7E5U6Q \
  | 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: ca894c5b766a5d96af040daa0f93b4f424fa06865ef4bd93cb5defb7b2efd5ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2db4fea81f53062bedf461515849244b31b2a31bd913a00180bd1ddd8f3b76fa",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-08-07T16:22:37Z",
    "title_canon_sha256": "ac7c550f58140e38bbc67018c09500f192b61ab79a16d27b98aa12152d673548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02238",
    "kind": "arxiv",
    "version": 3
  }
}