Pith Number

pith:IV7GOI2U

pith:2015:IV7GOI2UG3MFHGXR464GNRZX75

not attested not anchored not stored refs pending

Stochastic Integral Equations for Walsh Semimartingales

Ioannis Karatzas, Minghan Yan, Tomoyuki Ichiba, Vilmos Prokaj

arxiv:1505.02504 v2 · 2015-05-11 · 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{IV7GOI2UG3MFHGXR464GNRZX75}

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	2026-05-18T01:19:53.885935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

457e67235436d8539af1e7b866c737ff53795729ba540488b542e9e040be4a1d

Aliases

arxiv: 1505.02504 · arxiv_version: 1505.02504v2 · doi: 10.48550/arxiv.1505.02504 · pith_short_12: IV7GOI2UG3MF · pith_short_16: IV7GOI2UG3MFHGXR · pith_short_8: IV7GOI2U

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/IV7GOI2UG3MFHGXR464GNRZX75 \
  | 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: 457e67235436d8539af1e7b866c737ff53795729ba540488b542e9e040be4a1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08921eba8c3373eae83cce2d172d952d3ca3c30c911d9b1c5698666979af0c66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-11T07:32:23Z",
    "title_canon_sha256": "2f138135c087052fd24630547b38eaeb870dfd63ef6920f087f51b82b705fb6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02504",
    "kind": "arxiv",
    "version": 2
  }
}