Pith Number

pith:F7JXAWHB

pith:2003:F7JXAWHBMBCJVGQVDKPRKPZPQQ

not attested not anchored not stored refs pending

Finite differrence operators with a finite--band spectrum

M. Shapiro, P. Yuditskii, V. Vinnikov

arxiv:math/0309094 v2 · 2003-09-05 · math.SP · 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{F7JXAWHBMBCJVGQVDKPRKPZPQQ}

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	2026-05-18T01:05:28.656742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fd37058e160449a9a151a9f153f2f84390f32cd42c074707da51ddfe09eba92

Aliases

arxiv: math/0309094 · arxiv_version: math/0309094v2 · doi: 10.48550/arxiv.math/0309094 · pith_short_12: F7JXAWHBMBCJ · pith_short_16: F7JXAWHBMBCJVGQV · pith_short_8: F7JXAWHB

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/F7JXAWHBMBCJVGQVDKPRKPZPQQ \
  | 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: 2fd37058e160449a9a151a9f153f2f84390f32cd42c074707da51ddfe09eba92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f664d81f154c8c6562bf28efcf3cf56a96b8b4d1ab2627c8731e99d3c052873c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2003-09-05T13:07:24Z",
    "title_canon_sha256": "43fe82be761ddfc9c783aecc77a965807f6f9250d4100da7c5c592aa9a708b23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309094",
    "kind": "arxiv",
    "version": 2
  }
}