Pith Number

pith:ZEHWXFMX

pith:2015:ZEHWXFMXZDERN6Q5TWWG4XDKTG

not attested not anchored not stored refs pending

Sampling inequality for $L^2$-norms of eigenfunctions, spectral projectors, and Weyl sequences of Schr\"odinger operators

Ivan Veseli\'c, Martin Tautenhahn

arxiv:1504.00554 v3 · 2015-04-02 · 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{ZEHWXFMXZDERN6Q5TWWG4XDKTG}

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	2026-05-18T00:04:42.211174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c90f6b9597c8c916fa1d9dac6e5c6a99ad33fbe8592076d555c02e42cb1b2a28

Aliases

arxiv: 1504.00554 · arxiv_version: 1504.00554v3 · doi: 10.48550/arxiv.1504.00554 · pith_short_12: ZEHWXFMXZDER · pith_short_16: ZEHWXFMXZDERN6Q5 · pith_short_8: ZEHWXFMX

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/ZEHWXFMXZDERN6Q5TWWG4XDKTG \
  | 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: c90f6b9597c8c916fa1d9dac6e5c6a99ad33fbe8592076d555c02e42cb1b2a28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc76ee8001867ab5fbb6589974c9880dfff94a85d396efbf864eb76e808a7689",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-02T13:39:13Z",
    "title_canon_sha256": "53b4cbcdabc204f27356aad13feb6c40f6cbc1d81aeaf8126f0275af26b2322f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00554",
    "kind": "arxiv",
    "version": 3
  }
}