Pith Number

pith:4E2XZUDJ

pith:2014:4E2XZUDJNPB7FI4YVPG6UFNNVY

not attested not anchored not stored refs pending

Skew-Unfolding the Skorokhod Reflection of a Continuous Semimartingale

Ioannis Karatzas, Tomoyuki Ichiba

arxiv:1404.4662 v3 · 2014-04-17 · 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{4E2XZUDJNPB7FI4YVPG6UFNNVY}

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	2026-05-18T02:47:24.092882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1357cd0696bc3f2a398abcdea15adae1eaf1d49ccfd1567fa74531a9d4d409e

Aliases

arxiv: 1404.4662 · arxiv_version: 1404.4662v3 · doi: 10.48550/arxiv.1404.4662 · pith_short_12: 4E2XZUDJNPB7 · pith_short_16: 4E2XZUDJNPB7FI4Y · pith_short_8: 4E2XZUDJ

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/4E2XZUDJNPB7FI4YVPG6UFNNVY \
  | 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: e1357cd0696bc3f2a398abcdea15adae1eaf1d49ccfd1567fa74531a9d4d409e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "991bac438d947a825e21e4bc22e41a93ae506e1e4d0df0931be50137332eff82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-04-17T22:15:18Z",
    "title_canon_sha256": "98d254a02b604694ba98ef005572f86292c75fcce03db349e79e617bd195cdfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4662",
    "kind": "arxiv",
    "version": 3
  }
}