Pith Number

pith:W5JRGRYQ

pith:2017:W5JRGRYQGXS2KKYENATBDQYHCL

not attested not anchored not stored refs pending

Harmonic Approximation of Difference Operators

Elke Rosenberger, Markus Klein

arxiv:1706.06357 v1 · 2017-06-20 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5JRGRYQGXS2KKYENATBDQYHCL}

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	2026-05-18T00:42:03.456796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b75313471035e5a52b04682611c30712d3accce30e5816fc6ad880c8eb9e6c98

Aliases

arxiv: 1706.06357 · arxiv_version: 1706.06357v1 · doi: 10.48550/arxiv.1706.06357 · pith_short_12: W5JRGRYQGXS2 · pith_short_16: W5JRGRYQGXS2KKYE · pith_short_8: W5JRGRYQ

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/W5JRGRYQGXS2KKYENATBDQYHCL \
  | 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: b75313471035e5a52b04682611c30712d3accce30e5816fc6ad880c8eb9e6c98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6490e3d6a9cea99108f9c34115640ecd5adb046f09dd358bd756656c9534cee2",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-06-20T10:30:50Z",
    "title_canon_sha256": "b31ff998cb6eb31b3bde77402cf46187a845ade55b21986440a1a52ce1c9293c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06357",
    "kind": "arxiv",
    "version": 1
  }
}