Pith Number

pith:BVOUSUHN

pith:2013:BVOUSUHNJFCIRGTX7JBQEQTWIW

not attested not anchored not stored refs pending

Intrinsic weak derivatives and Sobolev spaces between manifolds

Alexandra Convent, Jean Van Schaftingen

arxiv:1312.5858 v1 · 2013-12-20 · math.FA · 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{BVOUSUHNJFCIRGTX7JBQEQTWIW}

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	2026-05-18T00:41:08.650398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d5d4950ed4944889a77fa4302427645807ce271461013c78ba5ea6e76ed1538

Aliases

arxiv: 1312.5858 · arxiv_version: 1312.5858v1 · doi: 10.48550/arxiv.1312.5858 · pith_short_12: BVOUSUHNJFCI · pith_short_16: BVOUSUHNJFCIRGTX · pith_short_8: BVOUSUHN

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/BVOUSUHNJFCIRGTX7JBQEQTWIW \
  | 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: 0d5d4950ed4944889a77fa4302427645807ce271461013c78ba5ea6e76ed1538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "620a8f4d340830a9ccfc9fae98cabdd568b9a03f13eceea2d4db8a2b10925253",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-12-20T09:00:32Z",
    "title_canon_sha256": "ef885db6bfd4af4e5ce86e2577ce14482d14a6618ea8b55851d73081ce7063d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5858",
    "kind": "arxiv",
    "version": 1
  }
}