Pith Number

pith:PSZ7BVAI

pith:2010:PSZ7BVAIJARM235D4N2BPA6TMD

not attested not anchored not stored refs pending

Reconstruction of a function from its spherical (circular) means with the centers lying on the surface of certain polygons and polyhedra

Leonid Kunyansky

arxiv:1009.0288 v1 · 2010-09-01 · 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{PSZ7BVAIJARM235D4N2BPA6TMD}

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	2026-05-18T02:05:38.279574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cb3f0d4084822cd6fa3e3741783d360e0a6b768a2c7073d69f1becfcd38ebe2

Aliases

arxiv: 1009.0288 · arxiv_version: 1009.0288v1 · doi: 10.48550/arxiv.1009.0288 · pith_short_12: PSZ7BVAIJARM · pith_short_16: PSZ7BVAIJARM235D · pith_short_8: PSZ7BVAI

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/PSZ7BVAIJARM235D4N2BPA6TMD \
  | 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: 7cb3f0d4084822cd6fa3e3741783d360e0a6b768a2c7073d69f1becfcd38ebe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10bfa5411be0ac63aaac34324ef68dab012f34fd911cfc16b46df0854e718ab0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-01T21:45:43Z",
    "title_canon_sha256": "867a58761ccc163a1dd0dcbc2b696e9d5a6a63f2ffcde7dda7b8e5072a1f765b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0288",
    "kind": "arxiv",
    "version": 1
  }
}