Pith Number

pith:DPPR6WP6

pith:2011:DPPR6WP6PCITU34GTC6VRO4GH6

not attested not anchored not stored refs pending

Statistics of wave functions for a point scatterer on the torus

Henrik Ueberschaer, Zeev Rudnick

arxiv:1109.4582 v4 · 2011-09-21 · math.AP · math-ph · math.MP · math.NT · 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{DPPR6WP6PCITU34GTC6VRO4GH6}

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	2026-05-18T02:55:57.690323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bdf1f59fe78913a6f8698bd58bb863fa310232250a424296f2349584bd1076a

Aliases

arxiv: 1109.4582 · arxiv_version: 1109.4582v4 · doi: 10.48550/arxiv.1109.4582 · pith_short_12: DPPR6WP6PCIT · pith_short_16: DPPR6WP6PCITU34G · pith_short_8: DPPR6WP6

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/DPPR6WP6PCITU34GTC6VRO4GH6 \
  | 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: 1bdf1f59fe78913a6f8698bd58bb863fa310232250a424296f2349584bd1076a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fc517a489f23c5d2e21cf47528730dc64c6b8ec165a7d62e4bd6706153cde7a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-21T16:38:03Z",
    "title_canon_sha256": "f7951a1c3dfefc447e5e5016414335ee4130dab3536ecdd49298936c45ea8499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4582",
    "kind": "arxiv",
    "version": 4
  }
}