Pith Number

pith:P3L25IEW

pith:2009:P3L25IEWZRFLPWEQ5UIK7H7INN

not attested not anchored not stored refs pending

Distributed Order Derivatives and Relaxation Patterns

Anatoly N. Kochubei

arxiv:0905.0616 v1 · 2009-05-05 · math-ph · math.CA · 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{P3L25IEWZRFLPWEQ5UIK7H7INN}

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	2026-05-18T02:13:47.498937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ed7aea096cc4ab7d890ed10af9fe86b6e0810799dcedabb9c298e4c98b8322d

Aliases

arxiv: 0905.0616 · arxiv_version: 0905.0616v1 · doi: 10.48550/arxiv.0905.0616 · pith_short_12: P3L25IEWZRFL · pith_short_16: P3L25IEWZRFLPWEQ · pith_short_8: P3L25IEW

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/P3L25IEWZRFLPWEQ5UIK7H7INN \
  | 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: 7ed7aea096cc4ab7d890ed10af9fe86b6e0810799dcedabb9c298e4c98b8322d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7bec1f9e3208c56ecae6e1259d0cdd5d36b5412569078bda2a59ea570594518",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-05-05T14:41:10Z",
    "title_canon_sha256": "a10fc26eb6d5f8851471ff7b91e68d5b413efc7c359a6bbdd24301cff998a4b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0616",
    "kind": "arxiv",
    "version": 1
  }
}