Pith Number

pith:VNRLAS32

pith:2011:VNRLAS32MFMUM74N6T2S4CUWHQ

not attested not anchored not stored refs pending

Multitime stochastic maximum principle on curvilinear integral actions

Constantin Udriste, Virgil Damian

arxiv:1112.0865 v1 · 2011-12-05 · 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{VNRLAS32MFMUM74N6T2S4CUWHQ}

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	2026-05-18T04:06:57.565779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab62b04b7a6159467f8df4f52e0a963c12b615a91a72030ac9cf7ef1e123cc9e

Aliases

arxiv: 1112.0865 · arxiv_version: 1112.0865v1 · doi: 10.48550/arxiv.1112.0865 · pith_short_12: VNRLAS32MFMU · pith_short_16: VNRLAS32MFMUM74N · pith_short_8: VNRLAS32

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/VNRLAS32MFMUM74N6T2S4CUWHQ \
  | 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: ab62b04b7a6159467f8df4f52e0a963c12b615a91a72030ac9cf7ef1e123cc9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e82cec41f784c2991c6bb582ef32e1165886dafcd843d83764b6bdc607094fc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-12-05T09:47:19Z",
    "title_canon_sha256": "dca70b9051489e7f121e58799a1b5fcba543715473f7205158bddd97e10a9ac9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0865",
    "kind": "arxiv",
    "version": 1
  }
}