Pith Number

pith:4K2VW53E

pith:2010:4K2VW53E4LY3LFDM3U5ILQTSPI

not attested not anchored not stored refs pending

Minimal spectral functions of an ordinary differential operator

Vadim Mogilevskii

arxiv:1010.1117 v2 · 2010-10-06 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4K2VW53E4LY3LFDM3U5ILQTSPI}

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	2026-05-18T04:39:28.512664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b55b7764e2f1b5946cdd3a85c2727a36337c6b19484a40acb9770d453e6d31

Aliases

arxiv: 1010.1117 · arxiv_version: 1010.1117v2 · doi: 10.48550/arxiv.1010.1117 · pith_short_12: 4K2VW53E4LY3 · pith_short_16: 4K2VW53E4LY3LFDM · pith_short_8: 4K2VW53E

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/4K2VW53E4LY3LFDM3U5ILQTSPI \
  | 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: e2b55b7764e2f1b5946cdd3a85c2727a36337c6b19484a40acb9770d453e6d31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8ab9aed18c568ca41029dd7d1d148fa820af7cd2f6e298ecfa674a0f7de8021",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-10-06T10:27:06Z",
    "title_canon_sha256": "57156098c37d42699be82e0560f711631f1d1ad0775eeda48668e6ca4a21f5dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1117",
    "kind": "arxiv",
    "version": 2
  }
}