Pith Number

pith:YBC4XR2Y

pith:2009:YBC4XR2YOLUC6D4E4QM6WH5CRT

not attested not anchored not stored refs pending

On infinite dimensional Volterra type operators

Farrukh Mukhamedov, Mansoor Saburov

arxiv:0902.4502 v1 · 2009-02-26 · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBC4XR2YOLUC6D4E4QM6WH5CRT}

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	2026-05-18T03:58:04.772419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c045cbc75872e82f0f84e419eb1fa28cf7f9ecb4ca776cd9734ff264a4a53366

Aliases

arxiv: 0902.4502 · arxiv_version: 0902.4502v1 · doi: 10.48550/arxiv.0902.4502 · pith_short_12: YBC4XR2YOLUC · pith_short_16: YBC4XR2YOLUC6D4E · pith_short_8: YBC4XR2Y

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/YBC4XR2YOLUC6D4E4QM6WH5CRT \
  | 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: c045cbc75872e82f0f84e419eb1fa28cf7f9ecb4ca776cd9734ff264a4a53366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74a4f81564e268d13ae133de5772dcaa6f61cbb49224e0665c182ee2f39d866d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-02-26T03:02:55Z",
    "title_canon_sha256": "2220b292c4d5765f43bff5e1917519740845a3de1433e9f48f119beb561c898d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.4502",
    "kind": "arxiv",
    "version": 1
  }
}