Pith Number

pith:JX2JP5SY

pith:2002:JX2JP5SYEYXT52Z3MGGHZZXU4W

not attested not anchored not stored refs pending

Localization for Discrete One Dimensional Random Word Models

David Damanik (Caltech), G\"unter Stolz (UAB), Robert Sims (Princeton)

arxiv:math-ph/0211057 v1 · 2002-11-22 · 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{JX2JP5SYEYXT52Z3MGGHZZXU4W}

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	2026-05-18T02:30:16.546607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4df497f658262f3eeb3b618c7ce6f4e5ba4cb507f212cf37bbd7fe16c0129fd8

Aliases

arxiv: math-ph/0211057 · arxiv_version: math-ph/0211057v1 · doi: 10.48550/arxiv.math-ph/0211057 · pith_short_12: JX2JP5SYEYXT · pith_short_16: JX2JP5SYEYXT52Z3 · pith_short_8: JX2JP5SY

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/JX2JP5SYEYXT52Z3MGGHZZXU4W \
  | 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: 4df497f658262f3eeb3b618c7ce6f4e5ba4cb507f212cf37bbd7fe16c0129fd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12c8847d87b56548e1c1cd85a89b9dc59a3f924966f48156deae649bada177f7",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-11-22T17:16:09Z",
    "title_canon_sha256": "aaf7626a1f399dad90e1bb0a7a0dd545c2f3fe1e71d51d8b93c6f91ab52d5f89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0211057",
    "kind": "arxiv",
    "version": 1
  }
}