Pith Number

pith:TQTXAJQX

pith:2018:TQTXAJQX247O7EXC4RSABY5XEL

not attested not anchored not stored refs pending

Necessary Conditions for Stochastic Optimal Control Problems in Infinite Dimensions

H\'el\`ene Frankowska, Xu Zhang

arxiv:1812.10277 v1 · 2018-12-26 · 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{TQTXAJQX247O7EXC4RSABY5XEL}

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	2026-05-17T23:57:24.592053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c27702617d73eef92e2e46400e3b722cb3000203fa12d902d858bf4ef8d63fc

Aliases

arxiv: 1812.10277 · arxiv_version: 1812.10277v1 · doi: 10.48550/arxiv.1812.10277 · pith_short_12: TQTXAJQX247O · pith_short_16: TQTXAJQX247O7EXC · pith_short_8: TQTXAJQX

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/TQTXAJQX247O7EXC4RSABY5XEL \
  | 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: 9c27702617d73eef92e2e46400e3b722cb3000203fa12d902d858bf4ef8d63fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cfb9088f5b6484ac2af6bad23787b53580adb5760e1aff80fd5755f01d7112e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-12-26T10:18:22Z",
    "title_canon_sha256": "797a756ce9182d9d4b75316ca40fb4c518eaf1479c885d6f895f8c8b82d965e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.10277",
    "kind": "arxiv",
    "version": 1
  }
}