Pith Number

pith:3EL7CLPI

pith:2010:3EL7CLPIN25AJDPIMTTYKCFPGI

not attested not anchored not stored refs pending

The integrated density of states of the random graph Laplacian

A. Zippelius, T. Aspelmeier

arxiv:1008.1087 v1 · 2010-08-05 · cond-mat.dis-nn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3EL7CLPIN25AJDPIMTTYKCFPGI}

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	2026-05-18T02:05:58.652676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d917f12de86eba048de864e78508af3213eb15195f1cbf6c374a7a25cf8a7ff6

Aliases

arxiv: 1008.1087 · arxiv_version: 1008.1087v1 · doi: 10.48550/arxiv.1008.1087 · pith_short_12: 3EL7CLPIN25A · pith_short_16: 3EL7CLPIN25AJDPI · pith_short_8: 3EL7CLPI

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/3EL7CLPIN25AJDPIMTTYKCFPGI \
  | 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: d917f12de86eba048de864e78508af3213eb15195f1cbf6c374a7a25cf8a7ff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5902d4876659a437d6c6875cd9d6d36ec721e010270ed3a977470e85e8aa607b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2010-08-05T21:26:17Z",
    "title_canon_sha256": "1b880ada6222bcbfd83710f2e0be0c87865c3fb95c41e6cefcd95afc77f008ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1087",
    "kind": "arxiv",
    "version": 1
  }
}