Pith Number

pith:CVU7MCQA

pith:2010:CVU7MCQAJKXTVIQ3QNKV27CSYA

not attested not anchored not stored refs pending

Localization criteria for Anderson models on locally finite graphs

Martin Tautenhahn

arxiv:1008.4503 v5 · 2010-08-26 · math.SP · 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{CVU7MCQAJKXTVIQ3QNKV27CSYA}

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	2026-05-18T02:05:42.485211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1569f60a004aaf3aa21b83555d7c52c0172f9a2c11f3a4dfe79601593ebb3583

Aliases

arxiv: 1008.4503 · arxiv_version: 1008.4503v5 · doi: 10.48550/arxiv.1008.4503 · pith_short_12: CVU7MCQAJKXT · pith_short_16: CVU7MCQAJKXTVIQ3 · pith_short_8: CVU7MCQA

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/CVU7MCQAJKXTVIQ3QNKV27CSYA \
  | 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: 1569f60a004aaf3aa21b83555d7c52c0172f9a2c11f3a4dfe79601593ebb3583

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02bded30c7a948ae7c98a4d550823318eefeb83683fe3326abf537a8683908f7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-08-26T13:15:36Z",
    "title_canon_sha256": "c71315a7688ba86706cd276c60b7dd3beb1cd0de48737acef31ebeb301b58f22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4503",
    "kind": "arxiv",
    "version": 5
  }
}