Pith Number

pith:RTT7EKH2

pith:2012:RTT7EKH2YUP53JM4HLOTOD7YCG

not attested not anchored not stored refs pending

Stochastic Perron's method for Hamilton-Jacobi-Bellman equations

Erhan Bayraktar, Mihai Sirbu

arxiv:1212.2170 v4 · 2012-12-10 · math.PR · cs.SY · math.AP · 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{RTT7EKH2YUP53JM4HLOTOD7YCG}

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	2026-05-18T03:12:33.168603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ce7f228fac51fdda59c3add370ff8119b5b33a4c46b48ab9a2a72eca0ff5f67

Aliases

arxiv: 1212.2170 · arxiv_version: 1212.2170v4 · doi: 10.48550/arxiv.1212.2170 · pith_short_12: RTT7EKH2YUP5 · pith_short_16: RTT7EKH2YUP53JM4 · pith_short_8: RTT7EKH2

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/RTT7EKH2YUP53JM4HLOTOD7YCG \
  | 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: 8ce7f228fac51fdda59c3add370ff8119b5b33a4c46b48ab9a2a72eca0ff5f67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b3a0add2345d2902ef8c097f348ca2d4567db1ac765fa07c6c1858b9a30e92a",
    "cross_cats_sorted": [
      "cs.SY",
      "math.AP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-10T19:15:33Z",
    "title_canon_sha256": "e53982701e76f2f5324edc5944a24402438560bac5c28661923c6b103abedb11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2170",
    "kind": "arxiv",
    "version": 4
  }
}