Pith Number

pith:IWVERRX2

pith:2018:IWVERRX2RREBNETQI72VTCSEI5

not attested not anchored not stored refs pending

Optimal lower bounds on hitting probabilities for non-linear systems of stochastic fractional heat equations

Fei Pu, Robert C. Dalang

arxiv:1810.05386 v1 · 2018-10-12 · 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{IWVERRX2RREBNETQI72VTCSEI5}

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	2026-05-18T00:03:30.768621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45aa48c6fa8c4816927047f5598a444749fcdfa1ab0d5e6468a18edd16369290

Aliases

arxiv: 1810.05386 · arxiv_version: 1810.05386v1 · doi: 10.48550/arxiv.1810.05386 · pith_short_12: IWVERRX2RREB · pith_short_16: IWVERRX2RREBNETQ · pith_short_8: IWVERRX2

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/IWVERRX2RREBNETQI72VTCSEI5 \
  | 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: 45aa48c6fa8c4816927047f5598a444749fcdfa1ab0d5e6468a18edd16369290

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba769a59e76e48334ab24dbee308a89d80c155573936f4602d584e326f4c2519",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-10-12T07:36:51Z",
    "title_canon_sha256": "a819af0df5d3a66f4213cf0b76cb033de5b5fef0ee84e858294c4ccfd3716a27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05386",
    "kind": "arxiv",
    "version": 1
  }
}