Pith Number

pith:P45SPXMB

pith:2024:P45SPXMBPONMHLZHIBXS7G7N5P

not attested not anchored not stored refs pending

Backward Stochastic Control System with Entropy Regularization

Qi Zhang, Ziyue Chen

arxiv:2411.13219 v1 · 2024-11-20 · 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{P45SPXMBPONMHLZHIBXS7G7N5P}

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	2026-07-05T09:38:06.791449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f3b27dd817b9ac3af27406f2f9bedebca9b09b757a909d554cb3274eb8525bd

Aliases

arxiv: 2411.13219 · arxiv_version: 2411.13219v1 · doi: 10.48550/arxiv.2411.13219 · pith_short_12: P45SPXMBPONM · pith_short_16: P45SPXMBPONMHLZH · pith_short_8: P45SPXMB

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/P45SPXMBPONMHLZHIBXS7G7N5P \
  | 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: 7f3b27dd817b9ac3af27406f2f9bedebca9b09b757a909d554cb3274eb8525bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83f2d67c1a0ccee0a82145e3867af96a07c9504070bdb4cb8b7cf092ce489311",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-11-20T11:26:02Z",
    "title_canon_sha256": "134985d019ae102c166aaed8ab2325f30bc27ab44a7c9f7d8ebaeb775e0106d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13219",
    "kind": "arxiv",
    "version": 1
  }
}