Pith Number

pith:3E6KLFPD

pith:2010:3E6KLFPDR5YF7FOGIBOLDHIQKE

not attested not anchored not stored refs pending

Cavity approach to the first eigenvalue problem in a family of symmetric random sparse matrices

Hisanao Takahashi, Osamu Watanabe, Yoshiyuki Kabashima

arxiv:1001.3935 v1 · 2010-01-22 · math.OC · 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{3E6KLFPDR5YF7FOGIBOLDHIQKE}

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	2026-05-18T02:09:31.249305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d93ca595e38f705f95c6405cb19d10510fc0473abd2581a14638f626a5dc949a

Aliases

arxiv: 1001.3935 · arxiv_version: 1001.3935v1 · doi: 10.48550/arxiv.1001.3935 · pith_short_12: 3E6KLFPDR5YF · pith_short_16: 3E6KLFPDR5YF7FOG · pith_short_8: 3E6KLFPD

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/3E6KLFPDR5YF7FOGIBOLDHIQKE \
  | 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: d93ca595e38f705f95c6405cb19d10510fc0473abd2581a14638f626a5dc949a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3851b145589abfbdfef0c1401020efddcbd7d586097ac46b92d60f435102ece3",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-01-22T08:06:52Z",
    "title_canon_sha256": "68f6cf0e7b6bb3818ac2ed5ed7b4a93b8c773573c213905e042fe24bde88db64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3935",
    "kind": "arxiv",
    "version": 1
  }
}