Pith Number

pith:D4GKFPO4

pith:2017:D4GKFPO4IUJZ245QQJYJYDLHR2

not attested not anchored not stored refs pending

Fractional div-curl quantities and applications to nonlocal geometric equations

Armin Schikorra, Katarzyna Mazowiecka

arxiv:1703.00231 v1 · 2017-03-01 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4GKFPO4IUJZ245QQJYJYDLHR2}

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	2026-05-18T00:18:09.752797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f0ca2bddc45139d73b082709c0d678e93fbd66e80046314c19121760e925cfe

Aliases

arxiv: 1703.00231 · arxiv_version: 1703.00231v1 · doi: 10.48550/arxiv.1703.00231 · pith_short_12: D4GKFPO4IUJZ · pith_short_16: D4GKFPO4IUJZ245Q · pith_short_8: D4GKFPO4

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/D4GKFPO4IUJZ245QQJYJYDLHR2 \
  | 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: 1f0ca2bddc45139d73b082709c0d678e93fbd66e80046314c19121760e925cfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "776fd11fc4385d1d7cd643b579546fef5188dfc0d67e7959882c9fec6d237f8f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-01T11:03:18Z",
    "title_canon_sha256": "2345ca600b44e54889e580ddfd6c56e03ac07338a5e47b3d65dc4cb7f7e7734a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00231",
    "kind": "arxiv",
    "version": 1
  }
}