Pith Number

pith:E4OO42FU

pith:2015:E4OO42FU76CGMCFQU4EPMIWHY7

not attested not anchored not stored refs pending

Operational calculus and integral transforms for groups with finite propagation speed

Gordon Blower, Ian Doust

arxiv:1509.00133 v2 · 2015-09-01 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4OO42FU76CGMCFQU4EPMIWHY7}

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	2026-05-18T00:32:03.255198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

271cee68b4ff846608b0a708f622c7c7e431a6cafa0b5fdab4c313273eb2bb6e

Aliases

arxiv: 1509.00133 · arxiv_version: 1509.00133v2 · doi: 10.48550/arxiv.1509.00133 · pith_short_12: E4OO42FU76CG · pith_short_16: E4OO42FU76CGMCFQ · pith_short_8: E4OO42FU

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/E4OO42FU76CGMCFQU4EPMIWHY7 \
  | 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: 271cee68b4ff846608b0a708f622c7c7e431a6cafa0b5fdab4c313273eb2bb6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd9b46a79ec1d7f33c1d075e4cbe946a807ec3993f91c2afdb236ddd61114dc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-09-01T04:16:09Z",
    "title_canon_sha256": "ba4f4ba89899c06139187e1d1db7b6e688490aa2a7011ccac1c732143bb6a617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00133",
    "kind": "arxiv",
    "version": 2
  }
}