Pith Number

pith:TBYP5TDC

pith:2010:TBYP5TDCMLZ2XKFNDAAZW4W55U

not attested not anchored not stored refs pending

Optimal Variational Principle for Backward Stochastic Control Systems Associated with L\'{e}vy Processes

Maoning Tang, Qi Zhang

arxiv:1010.4744 v2 · 2010-10-22 · 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{TBYP5TDCMLZ2XKFNDAAZW4W55U}

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	2026-05-18T04:31:52.174592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9870fecc6262f3aba8ad18019b72dded38c5b2cab0508da70d6a06ee16f8f66b

Aliases

arxiv: 1010.4744 · arxiv_version: 1010.4744v2 · doi: 10.48550/arxiv.1010.4744 · pith_short_12: TBYP5TDCMLZ2 · pith_short_16: TBYP5TDCMLZ2XKFN · pith_short_8: TBYP5TDC

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/TBYP5TDCMLZ2XKFNDAAZW4W55U \
  | 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: 9870fecc6262f3aba8ad18019b72dded38c5b2cab0508da70d6a06ee16f8f66b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fca783c5aecd8f309456fdd91ed65dc74d41f5ac250ea016dd3a721066a23827",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-10-22T15:45:35Z",
    "title_canon_sha256": "fefa3d6429af397f22e7a52be4054eff66da997df6e6504372b46dcdab2f4120"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4744",
    "kind": "arxiv",
    "version": 2
  }
}