Pith Number

pith:BDXO55JO

pith:2010:BDXO55JONG4W2T2AZQK3J5USSB

not attested not anchored not stored refs pending

Uniform approximation of the integrated density of states for long-range percolation Hamiltonians

Fabian Schwarzenberger

arxiv:1011.4192 v1 · 2010-11-18 · 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{BDXO55JONG4W2T2AZQK3J5USSB}

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	2026-05-18T04:35:46.463134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08eeeef52e69b96d4f40cc15b4f6929073e95e43931e84074ea1c22e990710af

Aliases

arxiv: 1011.4192 · arxiv_version: 1011.4192v1 · doi: 10.48550/arxiv.1011.4192 · pith_short_12: BDXO55JONG4W · pith_short_16: BDXO55JONG4W2T2A · pith_short_8: BDXO55JO

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/BDXO55JONG4W2T2AZQK3J5USSB \
  | 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: 08eeeef52e69b96d4f40cc15b4f6929073e95e43931e84074ea1c22e990710af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de93fa37f5a19fbba274116bd12d592caa8312cb5d252aa9f5f3ed0320ea0eea",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-11-18T14:01:13Z",
    "title_canon_sha256": "8e140ea1f17772ddc5a91873c6cd82c01f96d3eb404ae187cee4ea6213677859"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4192",
    "kind": "arxiv",
    "version": 1
  }
}