Pith Number

pith:XCMDYF3V

pith:2014:XCMDYF3VVW5ZWUEOWWBRAFFHE7

not attested not anchored not stored refs pending

Interpolatory Estimates, Riesz Transforms and Wavelet Projections

Paul F. X. M\"uller, Stefan Mueller

arxiv:1409.2143 v1 · 2014-09-07 · math.FA · 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{XCMDYF3VVW5ZWUEOWWBRAFFHE7}

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	2026-05-18T02:43:17.779437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8983c1775adbb9b508eb5831014a727e8af1081cd5d77636cecd6e6cd3c8c6a

Aliases

arxiv: 1409.2143 · arxiv_version: 1409.2143v1 · doi: 10.48550/arxiv.1409.2143 · pith_short_12: XCMDYF3VVW5Z · pith_short_16: XCMDYF3VVW5ZWUEO · pith_short_8: XCMDYF3V

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/XCMDYF3VVW5ZWUEOWWBRAFFHE7 \
  | 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: b8983c1775adbb9b508eb5831014a727e8af1081cd5d77636cecd6e6cd3c8c6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d84ddf52eef1774476a6377223b3823ce0df3b6a90acbebf6fef404eee2b51b9",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-09-07T17:27:43Z",
    "title_canon_sha256": "807f50ce28bde6fe385b7bc0a0edb7b9279f995547766a17f52f0eb3a5717fc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2143",
    "kind": "arxiv",
    "version": 1
  }
}