Pith Number

pith:24EXPSRO

pith:2017:24EXPSROY43EOLOCGPDCJCCZVN

not attested not anchored not stored refs pending

Fractal uncertainty for transfer operators

Maciej Zworski, Semyon Dyatlov

arxiv:1710.05430 v2 · 2017-10-16 · math.DS · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{24EXPSROY43EOLOCGPDCJCCZVN}

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	2026-05-18T00:20:46.663869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d70977ca2ec736472dc233c6248859ab4702499e28db14ed6cc944d763063a1c

Aliases

arxiv: 1710.05430 · arxiv_version: 1710.05430v2 · doi: 10.48550/arxiv.1710.05430 · pith_short_12: 24EXPSROY43E · pith_short_16: 24EXPSROY43EOLOC · pith_short_8: 24EXPSRO

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/24EXPSROY43EOLOCGPDCJCCZVN \
  | 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: d70977ca2ec736472dc233c6248859ab4702499e28db14ed6cc944d763063a1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab1b712a3315bcc6e0a787d3e99dc92f535a6ae7036999cc1934fc99aaeb6502",
    "cross_cats_sorted": [
      "math.AP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-10-16T00:54:41Z",
    "title_canon_sha256": "66ae2fa6744bdadc718f427fb84f1ea10297cd65001cb0f7ba9388a4d71e3be1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05430",
    "kind": "arxiv",
    "version": 2
  }
}