Pith Number

pith:PS3QODO4

pith:2019:PS3QODO42BMVM3KUD23V2A4GAX

not attested not anchored not stored refs pending

BV functions and fractional Laplacians on Dirichlet spaces

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

arxiv:1910.13330 v1 · 2019-10-28 · math.MG · math-ph · math.FA · math.MP · 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{PS3QODO42BMVM3KUD23V2A4GAX}

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	2026-07-05T00:15:43.532403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cb7070ddcd059566d541eb75d038605d2ee8a59468d4ce91d402e65924dc808

Aliases

arxiv: 1910.13330 · arxiv_version: 1910.13330v1 · doi: 10.48550/arxiv.1910.13330 · pith_short_12: PS3QODO42BMV · pith_short_16: PS3QODO42BMVM3KU · pith_short_8: PS3QODO4

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/PS3QODO42BMVM3KUD23V2A4GAX \
  | 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: 7cb7070ddcd059566d541eb75d038605d2ee8a59468d4ce91d402e65924dc808

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69956b54b1572662078cb5f5276fc46e64d62fc58d8320698c6f97c11f970123",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-10-28T15:21:00Z",
    "title_canon_sha256": "b72fe68cbfb2b3e584be7f987fa302c3dc591dbd79eb16aa57f61e642c87002e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.13330",
    "kind": "arxiv",
    "version": 1
  }
}