Pith Number

pith:FIP4NZID

pith:2018:FIP4NZIDRVF7ZEVHOFVRJ4PKFJ

not attested not anchored not stored refs pending

Fractional Sobolev norms and BV functions on manifolds

Andreas Kreuml, Olaf Mordhorst

arxiv:1805.04425 v2 · 2018-05-11 · math.FA · math.AP · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FIP4NZIDRVF7ZEVHOFVRJ4PKFJ}

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	2026-05-18T00:13:59.670504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a1fc6e5038d4bfc92a7716b14f1ea2a7010d78b58836e45ed3c2df0e2455df0

Aliases

arxiv: 1805.04425 · arxiv_version: 1805.04425v2 · doi: 10.48550/arxiv.1805.04425 · pith_short_12: FIP4NZIDRVF7 · pith_short_16: FIP4NZIDRVF7ZEVH · pith_short_8: FIP4NZID

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/FIP4NZIDRVF7ZEVHOFVRJ4PKFJ \
  | 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: 2a1fc6e5038d4bfc92a7716b14f1ea2a7010d78b58836e45ed3c2df0e2455df0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bfa44776a6ca031a123262486baaae4cb2ce1fb141758a6a5f6ccc6ce4207b6",
    "cross_cats_sorted": [
      "math.AP",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-05-11T14:37:02Z",
    "title_canon_sha256": "e317b3621ed6fc8b1c9f80152f831a390ee7dd6abc66874e1e9688dd9a8b75e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04425",
    "kind": "arxiv",
    "version": 2
  }
}