Pith Number

pith:64RNX6DI

pith:2015:64RNX6DIR7ZHMWVSGCB2T5WR2N

not attested not anchored not stored refs pending

On viscosity solution of HJB equations with state constraints and reflection control

Anup Biswas, Hitoshi Ishii, Lin Wang, Subhamay Saha

arxiv:1509.01118 v2 · 2015-09-03 · math.OC · math.AP · 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{64RNX6DIR7ZHMWVSGCB2T5WR2N}

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	2026-05-18T00:56:38.179923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f722dbf8688ff2765ab23083a9f6d1d35a270fc6cdfede3690824cb1135aec86

Aliases

arxiv: 1509.01118 · arxiv_version: 1509.01118v2 · doi: 10.48550/arxiv.1509.01118 · pith_short_12: 64RNX6DIR7ZH · pith_short_16: 64RNX6DIR7ZHMWVS · pith_short_8: 64RNX6DI

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/64RNX6DIR7ZHMWVSGCB2T5WR2N \
  | 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: f722dbf8688ff2765ab23083a9f6d1d35a270fc6cdfede3690824cb1135aec86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0833fccf19b4b533e07619dc44dc003434d43f4943b5aa1e36341b2e2464fdd5",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-03T15:04:44Z",
    "title_canon_sha256": "d67927365285e6e5920e2e44926da61afe9aa02db2e814f177b817a08d063e51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01118",
    "kind": "arxiv",
    "version": 2
  }
}