Pith Number

pith:OHMFOHTG

pith:2012:OHMFOHTG3RZVH7WJKDQCVVXNMZ

not attested not anchored not stored refs pending

First eigenvalue/eigenvector in sparse random symmetric matrices: influences of degree fluctuation

Hisanao Takahashi, Yoshiyuki Kabashima

arxiv:1204.5534 v2 · 2012-04-25 · cond-mat.dis-nn · 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{OHMFOHTG3RZVH7WJKDQCVVXNMZ}

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	2026-05-18T03:49:34.706830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71d8571e66dc7353fec950e02ad6ed667a46af6ebe85a2fdb64b86036725b8bd

Aliases

arxiv: 1204.5534 · arxiv_version: 1204.5534v2 · doi: 10.48550/arxiv.1204.5534 · pith_short_12: OHMFOHTG3RZV · pith_short_16: OHMFOHTG3RZVH7WJ · pith_short_8: OHMFOHTG

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/OHMFOHTG3RZVH7WJKDQCVVXNMZ \
  | 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: 71d8571e66dc7353fec950e02ad6ed667a46af6ebe85a2fdb64b86036725b8bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9edc3665f4c21cd617595ad9dff4eb2d2db9fb02e372fc446883fe881227b19",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2012-04-25T02:11:47Z",
    "title_canon_sha256": "3cec07ce60b6c2988af3651a7a3c188976d46d4d0a6722a5dacdddf3f00a61e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5534",
    "kind": "arxiv",
    "version": 2
  }
}