Pith Number

pith:A7N7VCVZ

pith:2017:A7N7VCVZCLTZCCAEB44ERPFXQK

not attested not anchored not stored refs pending

Fractional-order operators: Boundary problems, heat equations

Gerd Grubb

arxiv:1712.01196 v5 · 2017-12-04 · math.AP · math-ph · math.FA · 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{A7N7VCVZCLTZCCAEB44ERPFXQK}

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	2026-05-18T00:22:10.504742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07dbfa8ab912e79108040f3848bcb782abb8a1eae48ec9404cc8d9848c8e05dc

Aliases

arxiv: 1712.01196 · arxiv_version: 1712.01196v5 · doi: 10.48550/arxiv.1712.01196 · pith_short_12: A7N7VCVZCLTZ · pith_short_16: A7N7VCVZCLTZCCAE · pith_short_8: A7N7VCVZ

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/A7N7VCVZCLTZCCAEB44ERPFXQK \
  | 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: 07dbfa8ab912e79108040f3848bcb782abb8a1eae48ec9404cc8d9848c8e05dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "595347286eb819a0b911284cecbd7e1e1f8d1af0f59bc1351ef9b47783ca8afa",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-04T17:02:48Z",
    "title_canon_sha256": "3b3f73e95f09459dcd7bd24b720a72d10e2a04d58b3e2d9b28734a26383cf1c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01196",
    "kind": "arxiv",
    "version": 5
  }
}