Pith Number

pith:4LE3JMMA

pith:2009:4LE3JMMA3WA2OK3D37PT4H7SP7

not attested not anchored not stored refs pending

The support theorem for the single radius spherical mean transform

Mark Agranovsky, Peter Kuchment

arxiv:0905.1310 v2 · 2009-05-08 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LE3JMMA3WA2OK3D37PT4H7SP7}

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	2026-05-18T03:32:45.873943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2c9b4b180dd81a72b63dfdf3e1ff27fdb9d34191fb66d9e6ecd0e96e035a517

Aliases

arxiv: 0905.1310 · arxiv_version: 0905.1310v2 · doi: 10.48550/arxiv.0905.1310 · pith_short_12: 4LE3JMMA3WA2 · pith_short_16: 4LE3JMMA3WA2OK3D · pith_short_8: 4LE3JMMA

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/4LE3JMMA3WA2OK3D37PT4H7SP7 \
  | 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: e2c9b4b180dd81a72b63dfdf3e1ff27fdb9d34191fb66d9e6ecd0e96e035a517

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e4b7c373be343602cc92091b4eba1e47d739a9db1304b534d1d2778a8f6cb18",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-05-08T18:07:53Z",
    "title_canon_sha256": "c5be97ae8c18490ef51c5d800c92458eaef42cd4b8da17a683deeac5f92a54d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1310",
    "kind": "arxiv",
    "version": 2
  }
}