Pith Number

pith:M7FHBLIP

pith:2010:M7FHBLIPNYVG2C3BM43U4XS6NQ

not attested not anchored not stored refs pending

Lifshitz tails estimate for the density of states of the Anderson model

Abel Klein, Fran\c{c}ois Germinet, Jean-Michel Combes

arxiv:1008.4817 v1 · 2010-08-27 · 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{M7FHBLIPNYVG2C3BM43U4XS6NQ}

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	2026-05-18T01:09:23.623221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67ca70ad0f6e2a6d0b6167374e5e5e6c0da226a0d6a9f513042d2e6bbb62db25

Aliases

arxiv: 1008.4817 · arxiv_version: 1008.4817v1 · doi: 10.48550/arxiv.1008.4817 · pith_short_12: M7FHBLIPNYVG · pith_short_16: M7FHBLIPNYVG2C3B · pith_short_8: M7FHBLIP

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/M7FHBLIPNYVG2C3BM43U4XS6NQ \
  | 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: 67ca70ad0f6e2a6d0b6167374e5e5e6c0da226a0d6a9f513042d2e6bbb62db25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f9068dea7d97dadd2b335427e33b787a07fbe1f3c73a32daec24ba27aa96d2d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-08-27T23:11:54Z",
    "title_canon_sha256": "3400aff1f8105170d14b9b8d603002acd98e2abf9685b98e0f39b91b1aa1086d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4817",
    "kind": "arxiv",
    "version": 1
  }
}