Pith Number

pith:SPSXZKQK

pith:2011:SPSXZKQKSOQL3G3T7KVF55YGYX

not attested not anchored not stored refs pending

Weighted Radon transforms for which the Chang approximate inversion formula is precise

Roman Novikov (CMAP)

arxiv:1101.1725 v2 · 2011-01-10 · math.FA · math-ph · 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{SPSXZKQKSOQL3G3T7KVF55YGYX}

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	2026-05-18T02:03:43.734893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93e57caa0a93a0bd9b73faaa5ef706c5c8f24181ecf164d020ba52d12311d14c

Aliases

arxiv: 1101.1725 · arxiv_version: 1101.1725v2 · doi: 10.48550/arxiv.1101.1725 · pith_short_12: SPSXZKQKSOQL · pith_short_16: SPSXZKQKSOQL3G3T · pith_short_8: SPSXZKQK

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/SPSXZKQKSOQL3G3T7KVF55YGYX \
  | 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: 93e57caa0a93a0bd9b73faaa5ef706c5c8f24181ecf164d020ba52d12311d14c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab46cf3bc5ac828a804eb96a0ece92869d3b4c1e4291ff1242a15b42935160f7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-01-10T08:43:17Z",
    "title_canon_sha256": "4fb7085f2115f4f3dd784654441cf7ad6861083ed5e753d48a458f540abea7f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1725",
    "kind": "arxiv",
    "version": 2
  }
}