Pith Number

pith:NMPHKWSV

pith:2002:NMPHKWSVNZA7Z4YVSHZCPDAFZT

not attested not anchored not stored refs pending

Singular measures and convolution operators

J.M. Aldaz, Juan L. Varona

arxiv:math/0207285 v1 · 2002-07-30 · 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{NMPHKWSVNZA7Z4YVSHZCPDAFZT}

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	2026-05-18T03:41:31.107099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b1e755a556e41fcf31591f2278c05cce86894c59f2de9760c00e15c9eb88feb

Aliases

arxiv: math/0207285 · arxiv_version: math/0207285v1 · doi: 10.48550/arxiv.math/0207285 · pith_short_12: NMPHKWSVNZA7 · pith_short_16: NMPHKWSVNZA7Z4YV · pith_short_8: NMPHKWSV

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/NMPHKWSVNZA7Z4YVSHZCPDAFZT \
  | 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: 6b1e755a556e41fcf31591f2278c05cce86894c59f2de9760c00e15c9eb88feb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e522fa36d45a26e015e20cf2265a567b1ace93a7ccc277e43c6f911febaff909",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2002-07-30T11:56:48Z",
    "title_canon_sha256": "4e8a6b600152142f02337938f79c2da98a8b92f78c4a2ffc7dece6818b5fcee6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0207285",
    "kind": "arxiv",
    "version": 1
  }
}