Pith Number

pith:WHKWRQSG

pith:2014:WHKWRQSGIYMJMBAEBX23JZALTY

not attested not anchored not stored refs pending

New Inversion Formulas for the Horospherical Transform

Boris Rubin

arxiv:1412.3343 v1 · 2014-12-10 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHKWRQSGIYMJMBAEBX23JZALTY}

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	2026-05-18T02:31:36.909988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1d568c24646189604040df5b4e40b9e3266e0c352a889cde91ae4b3221ae3fe

Aliases

arxiv: 1412.3343 · arxiv_version: 1412.3343v1 · doi: 10.48550/arxiv.1412.3343 · pith_short_12: WHKWRQSGIYMJ · pith_short_16: WHKWRQSGIYMJMBAE · pith_short_8: WHKWRQSG

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/WHKWRQSGIYMJMBAEBX23JZALTY \
  | 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: b1d568c24646189604040df5b4e40b9e3266e0c352a889cde91ae4b3221ae3fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11519e3610d61e344d28a6a3473a1b2d723d44cf929b590fd4e60982603adb02",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-12-10T15:49:26Z",
    "title_canon_sha256": "fe675f54ef6cf5a966d262c63b55dd689693f0dc7ce0ebd5b2a2ce13b0ea66ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3343",
    "kind": "arxiv",
    "version": 1
  }
}