Pith Number

pith:7VCATGML

pith:2015:7VCATGMLFKFUAJCP6JYQTIMFVD

not attested not anchored not stored refs pending

Second order Riesz transforms on multiply-connected Lie groups and processes with jumps

Komla Domelevo, Nicola Arcozzi, Stefanie Petermichl

arxiv:1507.04940 v2 · 2015-07-17 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VCATGMLFKFUAJCP6JYQTIMFVD}

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	2026-05-18T01:35:59.418543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd4409998b2a8b40244ff27109a185a8c3264e24cf696428d45af9273dae5e05

Aliases

arxiv: 1507.04940 · arxiv_version: 1507.04940v2 · doi: 10.48550/arxiv.1507.04940 · pith_short_12: 7VCATGMLFKFU · pith_short_16: 7VCATGMLFKFUAJCP · pith_short_8: 7VCATGML

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/7VCATGMLFKFUAJCP6JYQTIMFVD \
  | 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: fd4409998b2a8b40244ff27109a185a8c3264e24cf696428d45af9273dae5e05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7af38b6bd3a5cfbf3cc90d79a6788101fdf6be62c810fa4da118fe849d3a56ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-17T12:11:15Z",
    "title_canon_sha256": "199794438337fb2febc8569b9880119847104c9bf7b28e68045bbec06226978f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04940",
    "kind": "arxiv",
    "version": 2
  }
}