Pith Number

pith:UN56WZ6P

pith:2008:UN56WZ6PY2QMOFXE7ELQISKDFV

not attested not anchored not stored refs pending

Long time Anderson localization for nonlinear random Schroedinger equation

W.-M. Wang, Zhifei Zhang

arxiv:0805.3520 v1 · 2008-05-22 · math-ph · math.AP · 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{UN56WZ6PY2QMOFXE7ELQISKDFV}

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	2026-05-18T02:15:52.463935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a37beb67cfc6a0c716e4f9170449432d553496509115fbce46ad5faf1dd05a3c

Aliases

arxiv: 0805.3520 · arxiv_version: 0805.3520v1 · doi: 10.48550/arxiv.0805.3520 · pith_short_12: UN56WZ6PY2QM · pith_short_16: UN56WZ6PY2QMOFXE · pith_short_8: UN56WZ6P

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/UN56WZ6PY2QMOFXE7ELQISKDFV \
  | 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: a37beb67cfc6a0c716e4f9170449432d553496509115fbce46ad5faf1dd05a3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6bda7d0d6994e17d6204b17f2557ff4d313da39a124c5639018a633a0110757",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-05-22T18:15:10Z",
    "title_canon_sha256": "ed42fef12e677631ba16822e08025d26b24e55f0a10b9e971210bfa6a723c8bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.3520",
    "kind": "arxiv",
    "version": 1
  }
}