Pith Number

pith:F2CQ4K3S

pith:2017:F2CQ4K3SEMO3IST7ZMMOB674WW

not attested not anchored not stored refs pending

Convolution Semigroups of Probability Measures on Gelfand Pairs, Revisited

David Applebaum

arxiv:1703.00330 v1 · 2017-03-01 · 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{F2CQ4K3SEMO3IST7ZMMOB674WW}

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	2026-05-18T00:49:43.218759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e850e2b72231db44a7fcb18e0fbfcb5a0302ffdd6a0eaf7e1627c8297dacc9b

Aliases

arxiv: 1703.00330 · arxiv_version: 1703.00330v1 · doi: 10.48550/arxiv.1703.00330 · pith_short_12: F2CQ4K3SEMO3 · pith_short_16: F2CQ4K3SEMO3IST7 · pith_short_8: F2CQ4K3S

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/F2CQ4K3SEMO3IST7ZMMOB674WW \
  | 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: 2e850e2b72231db44a7fcb18e0fbfcb5a0302ffdd6a0eaf7e1627c8297dacc9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "830522ebfaa0c721a48f97210561cad9cd00998fc52b45ae5be465380e513bbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-03-01T15:05:29Z",
    "title_canon_sha256": "0275e9e50be00200a5609ef72f2e540a517f6a3f8ecf5b267589a69e3f9fbf8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00330",
    "kind": "arxiv",
    "version": 1
  }
}