Pith Number

pith:V4IZCIMA

pith:2004:V4IZCIMAF3JOKRSV26WSWKTXDT

not attested not anchored not stored refs pending

Ergodic Potentials With a Discontinuous Sampling Function Are Non-Deterministic

David Damanik (Caltech), Rowan Killip (UCLA)

arxiv:math-ph/0402070 v1 · 2004-02-25 · math-ph · math.MP · 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{V4IZCIMAF3JOKRSV26WSWKTXDT}

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	2026-05-18T02:30:23.202445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af119121802ed2e54655d7ad2b2a771ccc72ccd47db44981053c42f137b557b7

Aliases

arxiv: math-ph/0402070 · arxiv_version: math-ph/0402070v1 · doi: 10.48550/arxiv.math-ph/0402070 · pith_short_12: V4IZCIMAF3JO · pith_short_16: V4IZCIMAF3JOKRSV · pith_short_8: V4IZCIMA

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/V4IZCIMAF3JOKRSV26WSWKTXDT \
  | 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: af119121802ed2e54655d7ad2b2a771ccc72ccd47db44981053c42f137b557b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7e2c52cbb553db068dc618ebe6d62e98ef504d02c8ce6c218f87e2dd5d51bf0",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-02-25T06:24:55Z",
    "title_canon_sha256": "cf6ea413ca83857b5e62b18767d79f671e00a46e74446e33a150a3a64f8733b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0402070",
    "kind": "arxiv",
    "version": 1
  }
}