Pith Number

pith:HOSTKFHO

pith:2017:HOSTKFHOFZMOAGXA2L2QQOJUGL

not attested not anchored not stored refs pending

A local-to-global boundedness argument and Fourier integral operators

Michael Ruzhansky, Mitsuru Sugimoto

arxiv:1711.08985 v1 · 2017-11-24 · math.FA · 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{HOSTKFHOFZMOAGXA2L2QQOJUGL}

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	2026-05-18T00:29:41.560272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ba53514ee2e58e01ae0d2f508393432f83c1fca6902c6aba021e59ae5042bb5

Aliases

arxiv: 1711.08985 · arxiv_version: 1711.08985v1 · doi: 10.48550/arxiv.1711.08985 · pith_short_12: HOSTKFHOFZMO · pith_short_16: HOSTKFHOFZMOAGXA · pith_short_8: HOSTKFHO

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/HOSTKFHOFZMOAGXA2L2QQOJUGL \
  | 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: 3ba53514ee2e58e01ae0d2f508393432f83c1fca6902c6aba021e59ae5042bb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "138ca0d1bedb2879923b1a6330bb800c7957a588f87bb6a48723fff210323ee2",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-24T14:35:31Z",
    "title_canon_sha256": "c46884525ee2355d0ed819c518fc5f0393b154e64cb5f2b9db78d71305e598ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08985",
    "kind": "arxiv",
    "version": 1
  }
}