Pith Number

pith:TIO7WUVR

pith:2000:TIO7WUVR7DRRJPH3EB5TSJJLKX

not attested not anchored not stored refs pending

When is the Fourier transform of an elementary function elementary?

Alexander Polishchuk, David Kazhdan, Pavel Etingof

arxiv:math/0003009 v2 · 2000-03-02 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIO7WUVR7DRRJPH3EB5TSJJLKX}

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	2026-05-18T03:26:09.133353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a1dfb52b1f8e314bcfb207b39252b55e9a2505b4e5f3b1a152e3c03d7b0186e

Aliases

arxiv: math/0003009 · arxiv_version: math/0003009v2 · doi: 10.48550/arxiv.math/0003009 · pith_short_12: TIO7WUVR7DRR · pith_short_16: TIO7WUVR7DRRJPH3 · pith_short_8: TIO7WUVR

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/TIO7WUVR7DRRJPH3EB5TSJJLKX \
  | 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: 9a1dfb52b1f8e314bcfb207b39252b55e9a2505b4e5f3b1a152e3c03d7b0186e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61968b11b927f79e492cbd5acf714ec719ac07554fc92f82192a12e91d710c59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2000-03-02T02:23:14Z",
    "title_canon_sha256": "5d583b8e06b1ab1ce31aa7d8a7fc930611ec5c9f9a16b93951db00775484f256"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0003009",
    "kind": "arxiv",
    "version": 2
  }
}