Pith Number

pith:RVIHWVRN

pith:2025:RVIHWVRNPWAN4WD64J6SGTH5W4

not attested not anchored not stored refs pending

Derivations and Sobolev functions on extended metric-measure spaces

Enrico Pasqualetto, Janne Taipalus

arxiv:2503.02596 v1 · 2025-03-04 · 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{RVIHWVRNPWAN4WD64J6SGTH5W4}

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.

Cited by

1 paper in Pith

Functions of bounded variation and Lipschitz algebras in metric measure spaces

Receipt and verification

First computed	2026-07-05T10:24:09.334939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d507b562d7d80de587ee27d234cfdb7358b3d69c1157ebd6f933fe33b30f885

Aliases

arxiv: 2503.02596 · arxiv_version: 2503.02596v1 · doi: 10.48550/arxiv.2503.02596 · pith_short_12: RVIHWVRNPWAN · pith_short_16: RVIHWVRNPWAN4WD6 · pith_short_8: RVIHWVRN

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/RVIHWVRNPWAN4WD64J6SGTH5W4 \
  | 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: 8d507b562d7d80de587ee27d234cfdb7358b3d69c1157ebd6f933fe33b30f885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9645758d882efb991f7631e9928f99fe6f58ea7a66250510cc7d54738d7702bf",
    "cross_cats_sorted": [
      "math.AP",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-03-04T13:18:04Z",
    "title_canon_sha256": "a9f5d61fae31c6261e159217b3aa91a1ab8a7133c2d7e5a514e3bbb37021c5ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.02596",
    "kind": "arxiv",
    "version": 1
  }
}