Pith Number

pith:OGCYISHW

pith:2007:OGCYISHWD2T3XZWSFR2WOMTZCF

not attested not anchored not stored refs pending

Spectral analysis of magnetic Laplacians on conformally cusp manifolds

Sergiu Moroianu, Sylvain Gol\'enia

arxiv:math/0701780 v4 · 2007-01-26 · math.SP · math-ph · math.AP · 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{OGCYISHWD2T3XZWSFR2WOMTZCF}

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	2026-05-18T02:59:18.927983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71858448f61ea7bbe6d22c756732791154de607dfba9610fb2912f6196c2c08d

Aliases

arxiv: math/0701780 · arxiv_version: math/0701780v4 · doi: 10.48550/arxiv.math/0701780 · pith_short_12: OGCYISHWD2T3 · pith_short_16: OGCYISHWD2T3XZWS · pith_short_8: OGCYISHW

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/OGCYISHWD2T3XZWSFR2WOMTZCF \
  | 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: 71858448f61ea7bbe6d22c756732791154de607dfba9610fb2912f6196c2c08d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c0c3f819ffa281091121707ab758d75f804a5e1e7a697d05110737d57f5cf55",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2007-01-26T16:52:51Z",
    "title_canon_sha256": "b0881b50d7eafcd675d42d3a72f92bdece1374964ed327a16ade0f76197aeb6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701780",
    "kind": "arxiv",
    "version": 4
  }
}