Pith Number

pith:L4KVOZZJ

pith:2025:L4KVOZZJW2FLJBN2IQZFTGGA6Z

not attested not anchored not stored refs pending

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees

Fabrice Baudoin, Li Chen, Meng Yang

arxiv:2505.10177 v1 · 2025-05-15 · math.AP · math.FA · math.MG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L4KVOZZJW2FLJBN2IQZFTGGA6Z}

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

Sobolev spaces on snowtrees

Receipt and verification

First computed	2026-07-05T11:03:34.514532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f15576729b68ab485ba44325998c0f64e5fb2cf558918fa1b810f1f5a15c9bb

Aliases

arxiv: 2505.10177 · arxiv_version: 2505.10177v1 · doi: 10.48550/arxiv.2505.10177 · pith_short_12: L4KVOZZJW2FL · pith_short_16: L4KVOZZJW2FLJBN2 · pith_short_8: L4KVOZZJ

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/L4KVOZZJW2FLJBN2IQZFTGGA6Z \
  | 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: 5f15576729b68ab485ba44325998c0f64e5fb2cf558918fa1b810f1f5a15c9bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "821e53ef0a56534f50c0f8bc4631bb2d572941f87498d4a6e3965726b1b95ed5",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-15T11:08:58Z",
    "title_canon_sha256": "88e27cbde4de7cfcd36c70d9249adea2ec534ebf518d68ddc05870575937c686"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.10177",
    "kind": "arxiv",
    "version": 1
  }
}