Pith Number

pith:5FCASDRN

pith:2019:5FCASDRNM3DWLRJV4PNW3IJEFW

not attested not anchored not stored refs pending

Spectral Inequalities for the Schr{\"o}dinger operator

Gilles Lebeau (JAD), Iv\'an Moyano (DPMMS)

arxiv:1901.03513 v1 · 2019-01-11 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FCASDRNM3DWLRJV4PNW3IJEFW}

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	2026-05-17T23:56:31.048018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e944090e2d66c765c535e3db6da1242d97832e44fbc8a49503c545fb1c47fdd7

Aliases

arxiv: 1901.03513 · arxiv_version: 1901.03513v1 · doi: 10.48550/arxiv.1901.03513 · pith_short_12: 5FCASDRNM3DW · pith_short_16: 5FCASDRNM3DWLRJV · pith_short_8: 5FCASDRN

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/5FCASDRNM3DWLRJV4PNW3IJEFW \
  | 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: e944090e2d66c765c535e3db6da1242d97832e44fbc8a49503c545fb1c47fdd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b1711f363fb03a2d80daff1db66830559fb85f86060cbdb8b11aca9f8002917",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-11T08:50:50Z",
    "title_canon_sha256": "3953635434d425689fbfc79f190104efbe2b9a0a35a290cb8dde7ee8ba1dbd30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03513",
    "kind": "arxiv",
    "version": 1
  }
}