Pith Number

pith:SOODKEJQ

pith:2010:SOODKEJQHJL2ABEJX7WRYHXG3E

not attested not anchored not stored refs pending

A maximum principle for controlled time-symmetric forward-backward doubly stochastic differential equation with initial-terminal sate constraints

Qingmeng Wei, Shaolin Ji, Xiumin Zhang

arxiv:1005.3085 v2 · 2010-05-18 · 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{SOODKEJQHJL2ABEJX7WRYHXG3E}

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	2026-05-18T03:40:36.987966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

939c3511303a57a00489bfed1c1ee6d91be43335f0c49790068cd26414d03b0f

Aliases

arxiv: 1005.3085 · arxiv_version: 1005.3085v2 · doi: 10.48550/arxiv.1005.3085 · pith_short_12: SOODKEJQHJL2 · pith_short_16: SOODKEJQHJL2ABEJ · pith_short_8: SOODKEJQ

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/SOODKEJQHJL2ABEJX7WRYHXG3E \
  | 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: 939c3511303a57a00489bfed1c1ee6d91be43335f0c49790068cd26414d03b0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "242dfd783f5bf214b4e4181050715e319a0b14f1416a8d1eb7bf24229cd91b60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-05-18T01:55:29Z",
    "title_canon_sha256": "f5d8c6f08120467c38de6d044c5a09b375a0454026d22b4667c996af8f0e293d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3085",
    "kind": "arxiv",
    "version": 2
  }
}