Pith Number

pith:A2N46DXW

pith:2017:A2N46DXW6GCWQMEFXLIC4XGKZO

not attested not anchored not stored refs pending

Sparse bounds for pseudodifferential operators

David Beltran, Laura Cladek

arxiv:1711.02339 v2 · 2017-11-07 · 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{A2N46DXW6GCWQMEFXLIC4XGKZO}

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	2026-05-18T00:20:24.169642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

069bcf0ef6f185683085bad02e5ccacba9b9e473b7a82b68b3880a23361ec47d

Aliases

arxiv: 1711.02339 · arxiv_version: 1711.02339v2 · doi: 10.48550/arxiv.1711.02339 · pith_short_12: A2N46DXW6GCW · pith_short_16: A2N46DXW6GCWQMEF · pith_short_8: A2N46DXW

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/A2N46DXW6GCWQMEFXLIC4XGKZO \
  | 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: 069bcf0ef6f185683085bad02e5ccacba9b9e473b7a82b68b3880a23361ec47d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8439ce48a2dda5bba83c9170ad2b0a9297cc057114b751de494e5863e69b367e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-11-07T08:55:26Z",
    "title_canon_sha256": "568b04da75799296e607f4c31587189bc5e61cda237ba08e0d81a04d24eec5d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02339",
    "kind": "arxiv",
    "version": 2
  }
}