Pith Number

pith:A2XSQODQ

pith:2018:A2XSQODQG4N2KBE7GIEK6XI2AD

not attested not anchored not stored refs pending

A Hilbert space approach to difference equations

Konrad Kitzing, Marcus Waurick, Rainer Picard, Sascha Trostorff, Stefan Siegmund

arxiv:1807.05824 v2 · 2018-07-16 · 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{A2XSQODQG4N2KBE7GIEK6XI2AD}

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	2026-05-18T00:04:07.478613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06af283870371ba5049f3208af5d1a00ecbf9e0f5c06e6874f2df86b7b693784

Aliases

arxiv: 1807.05824 · arxiv_version: 1807.05824v2 · doi: 10.48550/arxiv.1807.05824 · pith_short_12: A2XSQODQG4N2 · pith_short_16: A2XSQODQG4N2KBE7 · pith_short_8: A2XSQODQ

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/A2XSQODQG4N2KBE7GIEK6XI2AD \
  | 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: 06af283870371ba5049f3208af5d1a00ecbf9e0f5c06e6874f2df86b7b693784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea953e5968dd30577e6fe464295e1322d26fdccd288f324d95a231b28e6dcc07",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-07-16T12:48:51Z",
    "title_canon_sha256": "e1c1fa66ff64c10b3798bfcd249f590cb126293e5c8d1e38984078f1871de0b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05824",
    "kind": "arxiv",
    "version": 2
  }
}