Pith Number

pith:ZJZPCA5K

pith:2011:ZJZPCA5KTOHUTQ7XSYOJV5NXLM

not attested not anchored not stored refs pending

Stochastic Perron's method and verification without smoothness using viscosity comparison: obstacle problems and Dynkin games

Erhan Bayraktar, Mihai Sirbu

arxiv:1112.4904 v2 · 2011-12-21 · math.OC · 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{ZJZPCA5KTOHUTQ7XSYOJV5NXLM}

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	2026-05-18T04:03:44.964634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca72f103aa9b8f49c3f7961c9af5b75b053aff3466fe203de9bc94d686d133a1

Aliases

arxiv: 1112.4904 · arxiv_version: 1112.4904v2 · doi: 10.48550/arxiv.1112.4904 · pith_short_12: ZJZPCA5KTOHU · pith_short_16: ZJZPCA5KTOHUTQ7X · pith_short_8: ZJZPCA5K

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/ZJZPCA5KTOHUTQ7XSYOJV5NXLM \
  | 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: ca72f103aa9b8f49c3f7961c9af5b75b053aff3466fe203de9bc94d686d133a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc55535eece5ea69ede4f684d5de5819e30fff8d208e726ce7133bbbac4f030b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-12-21T01:44:10Z",
    "title_canon_sha256": "2ace803781a6a8bd5fee175646fbc584529a65fabcc3ce0e10fdb2064157cbeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4904",
    "kind": "arxiv",
    "version": 2
  }
}