Pith Number

pith:KQ5V36YZ

pith:2016:KQ5V36YZCCRVBEX66P24UDH4VI

not attested not anchored not stored refs pending

Semimartingales on Rays, Walsh Diffusions, and Related Problems of Control and Stopping

Ioannis Karatzas, Minghan Yan

arxiv:1603.03124 v4 · 2016-03-10 · 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{KQ5V36YZCCRVBEX66P24UDH4VI}

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	2026-05-18T00:46:21.076530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

543b5dfb1910a35092fef3f5ca0cfcaa2f80ec01a4f268955f94edebd7d1abca

Aliases

arxiv: 1603.03124 · arxiv_version: 1603.03124v4 · doi: 10.48550/arxiv.1603.03124 · pith_short_12: KQ5V36YZCCRV · pith_short_16: KQ5V36YZCCRVBEX6 · pith_short_8: KQ5V36YZ

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/KQ5V36YZCCRVBEX66P24UDH4VI \
  | 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: 543b5dfb1910a35092fef3f5ca0cfcaa2f80ec01a4f268955f94edebd7d1abca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95b80563452172e9201e289dbdb00d2e3af5f96d9a6722fb36ea5bb75457214e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-10T02:07:31Z",
    "title_canon_sha256": "8a33839107171c618e59c645985c4f85c64821a0509742ebe5a0e62c5f9b0997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03124",
    "kind": "arxiv",
    "version": 4
  }
}