Pith Number

pith:EM5CQXRR

pith:2015:EM5CQXRRBOJH6MNHU3BJU4M2HX

not attested not anchored not stored refs pending

From optimal stopping boundaries to Rost's reversed barriers and the Skorokhod embedding

Tiziano De Angelis

arxiv:1505.02724 v5 · 2015-05-11 · math.PR · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EM5CQXRRBOJH6MNHU3BJU4M2HX}

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	2026-05-18T00:53:12.613504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

233a285e310b927f31a7a6c29a719a3dc3668050921d6ad7250fa0dc010335e2

Aliases

arxiv: 1505.02724 · arxiv_version: 1505.02724v5 · doi: 10.48550/arxiv.1505.02724 · pith_short_12: EM5CQXRRBOJH · pith_short_16: EM5CQXRRBOJH6MNH · pith_short_8: EM5CQXRR

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/EM5CQXRRBOJH6MNHU3BJU4M2HX \
  | 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: 233a285e310b927f31a7a6c29a719a3dc3668050921d6ad7250fa0dc010335e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28f67ff76ee219ce20b172359441d0e6b42d24e954dd6fcf3994c929ff857dcd",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-11T18:28:23Z",
    "title_canon_sha256": "b5a77c37614c02e5112d39573cdb23536394dcdaee2ed0a4a42a2a7af7c66c2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02724",
    "kind": "arxiv",
    "version": 5
  }
}