Pith Number

pith:EFMP4QPG

pith:2009:EFMP4QPGKGW3GTXE6GSXEYWI7E

not attested not anchored not stored refs pending

Trace Formulae and Spectral Statistics for Discrete Laplacians on Regular Graphs (I)

Amit Godel, Idan Oren, Uzy Smilansky

arxiv:0908.3944 v1 · 2009-08-27 · 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{EFMP4QPGKGW3GTXE6GSXEYWI7E}

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	2026-05-18T02:12:22.383919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2158fe41e651adb34ee4f1a57262c8f91a301002706ba9b35b4794715d783491

Aliases

arxiv: 0908.3944 · arxiv_version: 0908.3944v1 · doi: 10.48550/arxiv.0908.3944 · pith_short_12: EFMP4QPGKGW3 · pith_short_16: EFMP4QPGKGW3GTXE · pith_short_8: EFMP4QPG

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/EFMP4QPGKGW3GTXE6GSXEYWI7E \
  | 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: 2158fe41e651adb34ee4f1a57262c8f91a301002706ba9b35b4794715d783491

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39bc747d4588bcfc81daa3f428947401b123264fe48ddbba4c840c9c992e60e1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-08-27T07:45:12Z",
    "title_canon_sha256": "8f8fd425d18437339835f197d7c08ccb1d55e3da9029dc889678fb96a11c4660"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3944",
    "kind": "arxiv",
    "version": 1
  }
}