Pith Number

pith:VCNO7JIC

pith:2018:VCNO7JICZODOBWECBTCVX22RIC

not attested not anchored not stored refs pending

A Hilbert space approach to fractional difference equations

Adam Czornik, Artur Babiarz, Hoang The Tuan, Konrad Kitzing, Micha{\l} Niezabitowski, Pham The Anh, Sascha Trostorff, Stefan Siegmund

arxiv:1812.07957 v2 · 2018-12-19 · math.DS · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCNO7JICZODOBWECBTCVX22RIC}

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	2026-05-17T23:47:48.462872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a89aefa502cb86e0d8820cc55beb5140aa6a3a66f21964c97a83a80559e018f4

Aliases

arxiv: 1812.07957 · arxiv_version: 1812.07957v2 · doi: 10.48550/arxiv.1812.07957 · pith_short_12: VCNO7JICZODO · pith_short_16: VCNO7JICZODOBWEC · pith_short_8: VCNO7JIC

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/VCNO7JICZODOBWECBTCVX22RIC \
  | 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: a89aefa502cb86e0d8820cc55beb5140aa6a3a66f21964c97a83a80559e018f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e37bec56960a7f6bdb171b8717483ccb77432baa7809cdc61f10ff67e9b8df2d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-12-19T14:12:08Z",
    "title_canon_sha256": "40ddf6492fd6d1d063a224e9f3157f9fa76fc25cfc469379db0ecf8387804bff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07957",
    "kind": "arxiv",
    "version": 2
  }
}