Pith Number

pith:GVIA5UM3

pith:2013:GVIA5UM3IO2DTIL6NCW7YZ2G5Y

not attested not anchored not stored refs pending

An invitation to harmonic analysis associated with semigroups of operators

Javier Parcet, Marius Junge, Tao Mei

arxiv:1304.4922 v1 · 2013-04-17 · math.CA · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVIA5UM3IO2DTIL6NCW7YZ2G5Y}

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	2026-05-18T03:27:43.183102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35500ed19b43b439a17e68adfc6746ee399343e314d1cb539eef44bc84238906

Aliases

arxiv: 1304.4922 · arxiv_version: 1304.4922v1 · doi: 10.48550/arxiv.1304.4922 · pith_short_12: GVIA5UM3IO2D · pith_short_16: GVIA5UM3IO2DTIL6 · pith_short_8: GVIA5UM3

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/GVIA5UM3IO2DTIL6NCW7YZ2G5Y \
  | 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: 35500ed19b43b439a17e68adfc6746ee399343e314d1cb539eef44bc84238906

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aa11900feb874485ce5b06593098c162816438a1837c251b748a309c3574ea5",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-17T19:15:40Z",
    "title_canon_sha256": "75e95ad3f8d0cf52a5559eace81e820e81d7c37076e1b2ab4dc79d117fe64907"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4922",
    "kind": "arxiv",
    "version": 1
  }
}