Pith Number

pith:75OG42J5

pith:2008:75OG42J5PB3RRJJ6BT6ZDVDZNW

not attested not anchored not stored refs pending

On Zeros of Fourier Transforms

Ruiming Zhang

arxiv:0806.0892 v8 · 2008-06-05 · math.CA · math-ph · math.GM · 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{75OG42J5PB3RRJJ6BT6ZDVDZNW}

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	2026-05-18T01:23:48.579603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff5c6e693d787718a53e0cfd91d4796d838922be8477ee0f912e27884fefbafe

Aliases

arxiv: 0806.0892 · arxiv_version: 0806.0892v8 · doi: 10.48550/arxiv.0806.0892 · pith_short_12: 75OG42J5PB3R · pith_short_16: 75OG42J5PB3RRJJ6 · pith_short_8: 75OG42J5

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/75OG42J5PB3RRJJ6BT6ZDVDZNW \
  | 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: ff5c6e693d787718a53e0cfd91d4796d838922be8477ee0f912e27884fefbafe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35d221fa027494ed30f6d2bcd9a8c604593f13b5f2d659b9d9fec196b9e02e66",
    "cross_cats_sorted": [
      "math-ph",
      "math.GM",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-06-05T03:23:10Z",
    "title_canon_sha256": "47405b7516ce1e43812cb188f454ce97e88f5d445c252579bae417e9d0dee133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.0892",
    "kind": "arxiv",
    "version": 8
  }
}