Pith Number

pith:3M2UVNI4

pith:2006:3M2UVNI46NHY3YKVLXCDGXR7F5

not attested not anchored not stored refs pending

Sampling Theorem and Discrete Fourier Transform on the Riemann Sphere

Juan Carlos S\'anchez-Monreal, Julio Guerrero, Manuel Calixto

arxiv:math-ph/0612046 v2 · 2006-12-15 · 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{3M2UVNI46NHY3YKVLXCDGXR7F5}

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	2026-05-18T04:13:27.298270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db354ab51cf34f8de1555dc4335e3f2f4cc8d37e26c4d8fbf135a4317e590b1b

Aliases

arxiv: math-ph/0612046 · arxiv_version: math-ph/0612046v2 · doi: 10.48550/arxiv.math-ph/0612046 · pith_short_12: 3M2UVNI46NHY · pith_short_16: 3M2UVNI46NHY3YKV · pith_short_8: 3M2UVNI4

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/3M2UVNI46NHY3YKVLXCDGXR7F5 \
  | 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: db354ab51cf34f8de1555dc4335e3f2f4cc8d37e26c4d8fbf135a4317e590b1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4dfc74494c01f9dce97f93c980ed931f9fb77804c65b00130704035cb7773f0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2006-12-15T11:57:44Z",
    "title_canon_sha256": "e692c8e349e392c78670a13c255d4901a712252386797f599298bd7731390fed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0612046",
    "kind": "arxiv",
    "version": 2
  }
}