Pith Number

pith:JPI34J73

pith:2017:JPI34J73HUBG7IDU5EI2OF2CPR

not attested not anchored not stored refs pending

Intrinsic Ultracontractivity of Non-local Dirichlet forms on Unbounded Open Sets

Jian Wang, Panki Kim, Xin Chen

arxiv:1706.08031 v1 · 2017-06-25 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JPI34J73HUBG7IDU5EI2OF2CPR}

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	2026-05-18T00:41:43.803490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bd1be27fb3d026fa074e911a717427c6db41c124f97a4e63cdd2df61efb44d4

Aliases

arxiv: 1706.08031 · arxiv_version: 1706.08031v1 · doi: 10.48550/arxiv.1706.08031 · pith_short_12: JPI34J73HUBG · pith_short_16: JPI34J73HUBG7IDU · pith_short_8: JPI34J73

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/JPI34J73HUBG7IDU5EI2OF2CPR \
  | 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: 4bd1be27fb3d026fa074e911a717427c6db41c124f97a4e63cdd2df61efb44d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5f7220d06deb11c7a3c7a067b1eb2c188f36254d8b3e89f59c5c53fca3f467e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-25T04:04:39Z",
    "title_canon_sha256": "50daaf1b24acb685bab4870d2b06eb1a383623ff233731123b98979ab3cd1e63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08031",
    "kind": "arxiv",
    "version": 1
  }
}