Pith Number

pith:3VLYZCAQ

pith:2011:3VLYZCAQHRM6DGSMJQHWBM6NNI

not attested not anchored not stored refs pending

Analysis of Hamilton-Jacobi-Bellman equations arising in stochastic singular control

Ryan Hynd

arxiv:1102.1109 v3 · 2011-02-05 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VLYZCAQHRM6DGSMJQHWBM6NNI}

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	2026-05-18T02:22:40.305805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd578c88103c59e19a4c4c0f60b3cd6a0e6eb4e678e536c64b3d498f6932cdf1

Aliases

arxiv: 1102.1109 · arxiv_version: 1102.1109v3 · doi: 10.48550/arxiv.1102.1109 · pith_short_12: 3VLYZCAQHRM6 · pith_short_16: 3VLYZCAQHRM6DGSM · pith_short_8: 3VLYZCAQ

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/3VLYZCAQHRM6DGSMJQHWBM6NNI \
  | 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: dd578c88103c59e19a4c4c0f60b3cd6a0e6eb4e678e536c64b3d498f6932cdf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fdbd17da7a0459dd88b752b4129760900a54614a519eb7ce71508b9df66910d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-05T23:44:32Z",
    "title_canon_sha256": "a5f4b03de5596fa8b38cbf559c713cfface5665457b02700952887f08db49653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1109",
    "kind": "arxiv",
    "version": 3
  }
}