Pith Number

pith:OHMUDS3C

pith:2013:OHMUDS3CAHSNL52V2VQZ6FCJNI

not attested not anchored not stored refs pending

Pseudodifferential operators of mixed type adapted to distributions of $k$-planes

Elias M. Stein, Po-Lam Yung

arxiv:1311.0245 v2 · 2013-11-01 · math.CA · math.AP · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OHMUDS3CAHSNL52V2VQZ6FCJNI}

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	2026-05-18T02:31:36.124987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71d941cb6201e4d5f755d5619f14496a0acea3e80d72e4f4a5680c704f4be407

Aliases

arxiv: 1311.0245 · arxiv_version: 1311.0245v2 · doi: 10.48550/arxiv.1311.0245 · pith_short_12: OHMUDS3CAHSN · pith_short_16: OHMUDS3CAHSNL52V · pith_short_8: OHMUDS3C

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/OHMUDS3CAHSNL52V2VQZ6FCJNI \
  | 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: 71d941cb6201e4d5f755d5619f14496a0acea3e80d72e4f4a5680c704f4be407

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bd395092b7d468d9151baae1dbe96d0f82c1ca487b7e3539edcd5137a510994",
    "cross_cats_sorted": [
      "math.AP",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-11-01T18:20:49Z",
    "title_canon_sha256": "b624e4bf451052b6a52d92db8a24f0398776834a2cd4197fe43796ee30cbcd2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0245",
    "kind": "arxiv",
    "version": 2
  }
}