Pith Number

pith:DT223U3E

pith:2013:DT223U3EF5LWDHFTKJHWSLDX72

not attested not anchored not stored refs pending

Convolution-type derivatives, hitting-times of subordinators and time-changed $C_0$-semigroups

Bruno Toaldo

arxiv:1308.1327 v2 · 2013-08-06 · 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{DT223U3EF5LWDHFTKJHWSLDX72}

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	2026-05-18T02:47:05.744134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cf5add3642f57619cb3524f692c77feb632e2d0fb48484313d24369c634ca36

Aliases

arxiv: 1308.1327 · arxiv_version: 1308.1327v2 · doi: 10.48550/arxiv.1308.1327 · pith_short_12: DT223U3EF5LW · pith_short_16: DT223U3EF5LWDHFT · pith_short_8: DT223U3E

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/DT223U3EF5LWDHFTKJHWSLDX72 \
  | 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: 1cf5add3642f57619cb3524f692c77feb632e2d0fb48484313d24369c634ca36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d4a43e7174dd8faf4faa5095a93826224d0ef33e37f9890e17a03884e42bc3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-06T16:15:41Z",
    "title_canon_sha256": "e2f5413406346a081afdf7a64cc6f8c720719cf3d7015e907b000c15a678be4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1327",
    "kind": "arxiv",
    "version": 2
  }
}