Pith Number

pith:R2WW25QW

pith:2011:R2WW25QWFKYP5WEHTZVIEQ4EPY

not attested not anchored not stored refs pending

Some Theorems on Feller Processes: Transience, Local Times and Ultracontractivity

Jian Wang, Ren\'e L. Schilling

arxiv:1108.3246 v1 · 2011-08-16 · 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{R2WW25QWFKYP5WEHTZVIEQ4EPY}

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	2026-05-18T04:15:27.697478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ead6d76162ab0fed8879e6a8243847e3ccc6510362f7eedca8cfe14795a0c20

Aliases

arxiv: 1108.3246 · arxiv_version: 1108.3246v1 · doi: 10.48550/arxiv.1108.3246 · pith_short_12: R2WW25QWFKYP · pith_short_16: R2WW25QWFKYP5WEH · pith_short_8: R2WW25QW

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/R2WW25QWFKYP5WEHTZVIEQ4EPY \
  | 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: 8ead6d76162ab0fed8879e6a8243847e3ccc6510362f7eedca8cfe14795a0c20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f006e576f51f166bb6b6fe776db1ea639b2e9118bef1d0a99412b1847dac0b87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-16T14:20:59Z",
    "title_canon_sha256": "68ca1384c5282dd646473f2db922532a7ff568bb4cec642be873ac84ba486214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3246",
    "kind": "arxiv",
    "version": 1
  }
}