Pith Number

pith:XFSJ4CKI

pith:2012:XFSJ4CKIVFW4TAQDOKGPDG6CYH

not attested not anchored not stored refs pending

An inversion formula for the spherical mean transform with data on an ellipsoid in two and three dimensions

Yehonatan Salman

arxiv:1208.5739 v1 · 2012-08-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFSJ4CKIVFW4TAQDOKGPDG6CYH}

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	2026-05-18T03:46:57.893121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9649e0948a96dc98203728cf19bc2c1ddbcde4c3d476e19abca1aa2c1d9b38b

Aliases

arxiv: 1208.5739 · arxiv_version: 1208.5739v1 · doi: 10.48550/arxiv.1208.5739 · pith_short_12: XFSJ4CKIVFW4 · pith_short_16: XFSJ4CKIVFW4TAQD · pith_short_8: XFSJ4CKI

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/XFSJ4CKIVFW4TAQDOKGPDG6CYH \
  | 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: b9649e0948a96dc98203728cf19bc2c1ddbcde4c3d476e19abca1aa2c1d9b38b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75164ca9e32c741bc8b87c522380d4ec659b831f3e5ae286d4c7de27c03a9541",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-28T18:24:07Z",
    "title_canon_sha256": "25ad05205f55697bcc53ea1f23d522054b67445968899f8631948ac55e468f0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5739",
    "kind": "arxiv",
    "version": 1
  }
}