Pith Number

pith:HH5G2WNZ

pith:2015:HH5G2WNZJSY2UYSPFRSGBCBERZ

not attested not anchored not stored refs pending

Limit value for optimal control with general means

J\'er\^ome Renault (GREMAQ), Marc Quincampoix (LM-Brest), Xiaoxi Li (IMJ-PRG)

arxiv:1503.05238 v1 · 2015-03-17 · 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{HH5G2WNZJSY2UYSPFRSGBCBERZ}

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	2026-05-18T01:19:16.168720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39fa6d59b94cb1aa624f2c646088248e69ca20f58d576d7f7ad050d117823991

Aliases

arxiv: 1503.05238 · arxiv_version: 1503.05238v1 · doi: 10.48550/arxiv.1503.05238 · pith_short_12: HH5G2WNZJSY2 · pith_short_16: HH5G2WNZJSY2UYSP · pith_short_8: HH5G2WNZ

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/HH5G2WNZJSY2UYSPFRSGBCBERZ \
  | 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: 39fa6d59b94cb1aa624f2c646088248e69ca20f58d576d7f7ad050d117823991

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1c0fe40a6234833f5f4dd16bd8cce5e3b80c95531c7aa39d7c6310e7dd33f37",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-03-17T22:42:15Z",
    "title_canon_sha256": "f081de02d71f7c2c62053da36d51a8f53f5db7b9b5cf7ff39698d59a55c67b3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05238",
    "kind": "arxiv",
    "version": 1
  }
}