Pith Number

pith:7OTDG2TF

pith:2016:7OTDG2TFU63OTEJDCTSCATE3VQ

not attested not anchored not stored refs pending

On the existence of optimal controls for backward stochastic partial differential equations

Peng Shi, Qingxin Meng, Yang Shen

arxiv:1612.01664 v1 · 2016-12-06 · 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{7OTDG2TFU63OTEJDCTSCATE3VQ}

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	2026-05-18T00:55:47.902525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fba6336a65a7b6e9912314e4204c9bac0019102b35943e91de3b9302e9ff8a12

Aliases

arxiv: 1612.01664 · arxiv_version: 1612.01664v1 · doi: 10.48550/arxiv.1612.01664 · pith_short_12: 7OTDG2TFU63O · pith_short_16: 7OTDG2TFU63OTEJD · pith_short_8: 7OTDG2TF

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/7OTDG2TFU63OTEJDCTSCATE3VQ \
  | 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: fba6336a65a7b6e9912314e4204c9bac0019102b35943e91de3b9302e9ff8a12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d61e04e29093ad9e5ff970b1205a4f21b4e392f8c87f2150aa95ea4c4b419355",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-06T05:02:01Z",
    "title_canon_sha256": "1b6d1f4cd5da0e889406532610baa4000b1b1f50ec829972ddb0ec64148027b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01664",
    "kind": "arxiv",
    "version": 1
  }
}