Pith Number

pith:YVPKALZ7

pith:2011:YVPKALZ7Q6KH43MJD7YG6LZLZ4

not attested not anchored not stored refs pending

A Bellman approach for two-domains optimal control problems in $\R^N$

Ariela Briani (LMPT, Emmanuel Chasseigne (LMPT, FRDP), Guy Barles (LMPT

arxiv:1112.3727 v3 · 2011-12-16 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YVPKALZ7Q6KH43MJD7YG6LZLZ4}

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	2026-05-18T03:45:53.147962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c55ea02f3f87947e6d891ff06f2f2bcf2092a77a9dc1d6b0bf7a45ae8bf45d8c

Aliases

arxiv: 1112.3727 · arxiv_version: 1112.3727v3 · doi: 10.48550/arxiv.1112.3727 · pith_short_12: YVPKALZ7Q6KH · pith_short_16: YVPKALZ7Q6KH43MJ · pith_short_8: YVPKALZ7

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/YVPKALZ7Q6KH43MJD7YG6LZLZ4 \
  | 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: c55ea02f3f87947e6d891ff06f2f2bcf2092a77a9dc1d6b0bf7a45ae8bf45d8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84ef204371e499082a2cd83d4e2365715f4e5f6dadea2bdfc930c94826f5e92e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-16T07:40:28Z",
    "title_canon_sha256": "bd777477f0045f909c44a850c5309700e657cd2fd736ca9b941f0b56fb3f7d1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3727",
    "kind": "arxiv",
    "version": 3
  }
}