Pith Number

pith:ANTVJUNC

pith:2015:ANTVJUNCMTTI5S4URP6VZAPVZN

not attested not anchored not stored refs pending

$L^p$ Boundedness of rough Bi-parameter Fourier Integral Operators

Guozhen Lu, Lu Zhang, Qing Hong

arxiv:1510.00986 v1 · 2015-10-04 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ANTVJUNCMTTI5S4URP6VZAPVZN}

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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	2026-05-18T01:31:05.095966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

036754d1a264e68ecb948bfd5c81f5cb403099841c2b2db2c6f49c4f192b06f2

Aliases

arxiv: 1510.00986 · arxiv_version: 1510.00986v1 · doi: 10.48550/arxiv.1510.00986 · pith_short_12: ANTVJUNCMTTI · pith_short_16: ANTVJUNCMTTI5S4U · pith_short_8: ANTVJUNC

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/ANTVJUNCMTTI5S4URP6VZAPVZN \
  | 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: 036754d1a264e68ecb948bfd5c81f5cb403099841c2b2db2c6f49c4f192b06f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6693fb16a13b7ab402e15a4f85e3b091d3c196227883d876b1dc72e37e80c885",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-04T21:15:23Z",
    "title_canon_sha256": "71269d1e0ebf4de016b99632ab61b26b582d06250e7c5da8aa2733d7654af410"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00986",
    "kind": "arxiv",
    "version": 1
  }
}