Pith Number

pith:H3JJO4ZT

pith:2011:H3JJO4ZTFVQG6BVPQ2K3R5YUIG

not attested not anchored not stored refs pending

Stationary processes with pure point diffraction

Daniel Lenz, Robert V. Moody

arxiv:1111.3617 v1 · 2011-11-15 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3JJO4ZTFVQG6BVPQ2K3R5YUIG}

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	2026-05-18T04:08:13.873955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ed29773332d606f06af8695b8f71441a961accff9905ccd36dc4fb5b7152868

Aliases

arxiv: 1111.3617 · arxiv_version: 1111.3617v1 · doi: 10.48550/arxiv.1111.3617 · pith_short_12: H3JJO4ZTFVQG · pith_short_16: H3JJO4ZTFVQG6BVP · pith_short_8: H3JJO4ZT

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/H3JJO4ZTFVQG6BVPQ2K3R5YUIG \
  | 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: 3ed29773332d606f06af8695b8f71441a961accff9905ccd36dc4fb5b7152868

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17862aaef3d704b3cb9dcf6966a145f8528af9e5488421af20187aaf76568491",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-15T19:38:28Z",
    "title_canon_sha256": "40d7ddffcce200927ec734315dcddda9a94f46fd329a90a71748a10bed44ff8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3617",
    "kind": "arxiv",
    "version": 1
  }
}