Pith Number

pith:IVMIZBWB

pith:2026:IVMIZBWBQDYCQNGNI5X4FSBFK3

not attested not anchored not stored refs pending

Viscosity Solutions of Stochastic Hamilton--Jacobi--Bellman Equations with Jumps

Dunxiang Liang, Qingxin Meng

arxiv:2605.20593 v1 · 2026-05-20 · 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{IVMIZBWBQDYCQNGNI5X4FSBFK3}

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	2026-05-21T01:04:43.838970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45588c86c180f02834cd476fc2c82556e30fd34417192990f5627be2a7a40856

Aliases

arxiv: 2605.20593 · arxiv_version: 2605.20593v1 · doi: 10.48550/arxiv.2605.20593 · pith_short_12: IVMIZBWBQDYC · pith_short_16: IVMIZBWBQDYCQNGN · pith_short_8: IVMIZBWB

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/IVMIZBWBQDYCQNGNI5X4FSBFK3 \
  | 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: 45588c86c180f02834cd476fc2c82556e30fd34417192990f5627be2a7a40856

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46ae4b983cb1cf440274bb2b237f7d628008b55ac2e8c533cf75645c96431906",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-20T00:58:32Z",
    "title_canon_sha256": "d16b0f4ae08373e20f2c27ac5196546449c792fe1b7bead81532e58e61a470ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20593",
    "kind": "arxiv",
    "version": 1
  }
}