Pith Number

pith:3L6BFHMP

pith:2006:3L6BFHMP6N3354KFRYNF7UZZWH

not attested not anchored not stored refs pending

Upper bounds on wavepacket spreading for random Jacobi matrices

Hermann Schulz-Baldes, Svetlana Jitomirskaya

arxiv:math-ph/0607029 v2 · 2006-07-12 · 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{3L6BFHMP6N3354KFRYNF7UZZWH}

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	2026-05-18T01:01:06.745949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dafc129d8ff377bef1458e1a5fd339b1d007ebb4725a5bbda71be4c26e1ce985

Aliases

arxiv: math-ph/0607029 · arxiv_version: math-ph/0607029v2 · doi: 10.48550/arxiv.math-ph/0607029 · pith_short_12: 3L6BFHMP6N33 · pith_short_16: 3L6BFHMP6N3354KF · pith_short_8: 3L6BFHMP

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/3L6BFHMP6N3354KFRYNF7UZZWH \
  | 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: dafc129d8ff377bef1458e1a5fd339b1d007ebb4725a5bbda71be4c26e1ce985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fb5a2aefc4cbe4319e1f0848283553f62f29cfdf464da50c268320af2120753",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-07-12T16:28:39Z",
    "title_canon_sha256": "41ce343ebe4f7b743b9f3bd814fec746a4eb0d48ce718713e00f0d1c3f51f663"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0607029",
    "kind": "arxiv",
    "version": 2
  }
}