Pith Number

pith:LMFOUXOT

pith:2013:LMFOUXOTXRGANYWEYAH3UYT6SZ

not attested not anchored not stored refs pending

Dynamical self-averaging for a lattice Schr\"odinger equation with weak random potential

Maximilian Butz

arxiv:1312.6979 v2 · 2013-12-25 · 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{LMFOUXOTXRGANYWEYAH3UYT6SZ}

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	2026-05-18T01:41:58.229260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b0aea5dd3bc4c06e2c4c00fba627e9642bc6c5e5ff4df2b25e6b93a74244ca0

Aliases

arxiv: 1312.6979 · arxiv_version: 1312.6979v2 · doi: 10.48550/arxiv.1312.6979 · pith_short_12: LMFOUXOTXRGA · pith_short_16: LMFOUXOTXRGANYWE · pith_short_8: LMFOUXOT

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/LMFOUXOTXRGANYWEYAH3UYT6SZ \
  | 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: 5b0aea5dd3bc4c06e2c4c00fba627e9642bc6c5e5ff4df2b25e6b93a74244ca0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65268085a3a60cf7a7df1cf5c7a7fe2df3ae35e1ecf56fd3590ca55dba8e3744",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-25T14:29:32Z",
    "title_canon_sha256": "42f781a79fcfe7f937422b9fb752fcb099fcc403c8b7f4a361a9d69fefbbaf07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6979",
    "kind": "arxiv",
    "version": 2
  }
}