Pith Number

pith:P67SW2JA

pith:2018:P67SW2JA7BL5BYOKACWMIQFO3Z

not attested not anchored not stored refs pending

Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates

Alexander Teplyaev, Fabrice Baudoin, Li Chen, Luke Rogers, Nageswari Shanmugalingam, Patricia Alonso-Ruiz

arxiv:1811.11010 v4 · 2018-11-27 · math.MG · math.AP · math.FA · 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{P67SW2JA7BL5BYOKACWMIQFO3Z}

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	2026-07-05T01:34:19.485125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fbf2b6920f857d0e1ca00acc440aede753a05c292771ba5a2fe93d81bd1a00d

Aliases

arxiv: 1811.11010 · arxiv_version: 1811.11010v4 · doi: 10.48550/arxiv.1811.11010 · pith_short_12: P67SW2JA7BL5 · pith_short_16: P67SW2JA7BL5BYOK · pith_short_8: P67SW2JA

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/P67SW2JA7BL5BYOKACWMIQFO3Z \
  | 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: 7fbf2b6920f857d0e1ca00acc440aede753a05c292771ba5a2fe93d81bd1a00d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac9aa5836d961fd0b34d2d240b3215bb0d01a371eaa084f06d6f68dd650a2177",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-11-27T14:22:42Z",
    "title_canon_sha256": "af3a407ea433872d2e6c2bd1d5ba376f49a090050669e65b4a315e4c5177b729"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11010",
    "kind": "arxiv",
    "version": 4
  }
}