Pith Number

pith:LS7YUI3O

pith:2013:LS7YUI3OGRPJHXRJNEL3DBWNEC

not attested not anchored not stored refs pending

Reflected Backward Stochastic Difference Equations and Optimal Stopping Problems under g-expectation

Lifen An, Samuel N. Cohen, Shaolin Ji

arxiv:1305.0887 v2 · 2013-05-04 · 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{LS7YUI3OGRPJHXRJNEL3DBWNEC}

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	2026-05-18T03:19:25.519921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cbf8a236e345e93de296917b186cd209320f106187d7d8a65eb3154fcccf954

Aliases

arxiv: 1305.0887 · arxiv_version: 1305.0887v2 · doi: 10.48550/arxiv.1305.0887 · pith_short_12: LS7YUI3OGRPJ · pith_short_16: LS7YUI3OGRPJHXRJ · pith_short_8: LS7YUI3O

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/LS7YUI3OGRPJHXRJNEL3DBWNEC \
  | 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: 5cbf8a236e345e93de296917b186cd209320f106187d7d8a65eb3154fcccf954

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f03ffda5cde3afbf9f1ad028d30673961ce57190bc7e44fb31ce6a233edffad9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-04T07:25:49Z",
    "title_canon_sha256": "458f49e7a1f1312d9074c5ce0a9ebc2061b0ecfd4b6d4f5faab0e2717c3d6762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0887",
    "kind": "arxiv",
    "version": 2
  }
}