Pith Number

pith:ZBTTRZ5L

pith:2019:ZBTTRZ5LFGS5I2UJJIMPQT4MNU

not attested not anchored not stored refs pending

Stochastic Volterra integral equations and a class of first order stochastic partial differential equations

Fred Espen Benth, Nils Detering, Paul Kruehner

arxiv:1903.05045 v2 · 2019-03-12 · 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{ZBTTRZ5LFGS5I2UJJIMPQT4MNU}

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	2026-07-05T01:20:36.384681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c86738e7ab29a5d46a894a18f84f8c6d3e33ba6728131179763f3c3596e815ee

Aliases

arxiv: 1903.05045 · arxiv_version: 1903.05045v2 · doi: 10.48550/arxiv.1903.05045 · pith_short_12: ZBTTRZ5LFGS5 · pith_short_16: ZBTTRZ5LFGS5I2UJ · pith_short_8: ZBTTRZ5L

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/ZBTTRZ5LFGS5I2UJJIMPQT4MNU \
  | 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: c86738e7ab29a5d46a894a18f84f8c6d3e33ba6728131179763f3c3596e815ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0505519ad5aca1835e417e50109aac7157cd0eb36b9053b7276005e2019ced5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-03-12T16:52:50Z",
    "title_canon_sha256": "49aad304700845f3a3c7b2643d3afb762977b799b46c787e748f19f3b149fb0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05045",
    "kind": "arxiv",
    "version": 2
  }
}