Pith Number

pith:6OAGETJP

pith:2015:6OAGETJPHVJOC5L34MCA6GLDQA

not attested not anchored not stored refs pending

An improved necessary condition for the Schr\"odinger maximal estimate

Keith Rogers, Renato Luc\`a

arxiv:1506.05325 v1 · 2015-06-17 · math.CA · 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{6OAGETJPHVJOC5L34MCA6GLDQA}

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.

Cited by

1 paper in Pith

Spatial decay and nonlinear smoothing of the generalized Ostrovsky equation

Receipt and verification

First computed	2026-05-18T00:49:35.014137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f380624d2f3d52e1757be3040f196380139d250e161ee02db419bf677e1320c0

Aliases

arxiv: 1506.05325 · arxiv_version: 1506.05325v1 · doi: 10.48550/arxiv.1506.05325 · pith_short_12: 6OAGETJPHVJO · pith_short_16: 6OAGETJPHVJOC5L3 · pith_short_8: 6OAGETJP

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/6OAGETJPHVJOC5L34MCA6GLDQA \
  | 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: f380624d2f3d52e1757be3040f196380139d250e161ee02db419bf677e1320c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c285e7252e1548fd19fe60e28e351f705018e02a0e43151e4fad20cb0873fb6c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-06-17T13:24:56Z",
    "title_canon_sha256": "d9cbc36c7e72df44991093445ce67e413e61d0b32e6bedff26c5b9b16014d30d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05325",
    "kind": "arxiv",
    "version": 1
  }
}