Pith Number

pith:QS4GOZLV

pith:2009:QS4GOZLVBPKHA7DFMYZ3CKLZMF

not attested not anchored not stored refs pending

Spectral Properties of the Threshold Network Model

Nobuaki Obata, Norio Konno, Yusuke Ide

arxiv:1001.0136 v1 · 2009-12-31 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QS4GOZLVBPKHA7DFMYZ3CKLZMF}

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	2026-05-18T04:39:39.007393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84b86765750bd4707c656633b12979617d0188e57596e60ebde85e0ddc87c83b

Aliases

arxiv: 1001.0136 · arxiv_version: 1001.0136v1 · doi: 10.48550/arxiv.1001.0136 · pith_short_12: QS4GOZLVBPKH · pith_short_16: QS4GOZLVBPKHA7DF · pith_short_8: QS4GOZLV

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/QS4GOZLVBPKHA7DFMYZ3CKLZMF \
  | 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: 84b86765750bd4707c656633b12979617d0188e57596e60ebde85e0ddc87c83b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4484733e48a6bdee5e8b566615a3938c11e4245620aa77408c35937c3417f93d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-12-31T13:35:37Z",
    "title_canon_sha256": "95ffc4fc888c17ae732c06e1e5ed35da08c5d63956c6fc807bc349c6840c4e54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0136",
    "kind": "arxiv",
    "version": 1
  }
}