Pith Number

pith:GO5OQF3U

pith:2010:GO5OQF3UCZA7WGLXKDNDASUFHS

not attested not anchored not stored refs pending

Fractional-Parabolic Systems

Anatoly N. Kochubei

arxiv:1009.4996 v3 · 2010-09-25 · math.AP · 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{GO5OQF3UCZA7WGLXKDNDASUFHS}

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	2026-05-18T03:52:51.521291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33bae817741641fb197750da304a853cb7158758a0d0df4c7098dd146ff13511

Aliases

arxiv: 1009.4996 · arxiv_version: 1009.4996v3 · doi: 10.48550/arxiv.1009.4996 · pith_short_12: GO5OQF3UCZA7 · pith_short_16: GO5OQF3UCZA7WGLX · pith_short_8: GO5OQF3U

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/GO5OQF3UCZA7WGLXKDNDASUFHS \
  | 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: 33bae817741641fb197750da304a853cb7158758a0d0df4c7098dd146ff13511

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89d653df0325ffbad68f7d0163202acd7b9bbd9fdcde0ff375fe8769fec9f331",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-25T09:02:52Z",
    "title_canon_sha256": "f5d221a50a855033386668702bb0249ad1aea78e5ca1bdd9b79152cf63c7aef6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4996",
    "kind": "arxiv",
    "version": 3
  }
}