Pith Number

pith:3BKIWTG7

pith:2018:3BKIWTG7CAJHJ3MOM3RRSAMKND

not attested not anchored not stored refs pending

$\bf{C^{1,1}}$-smoothness of constrained solutions in the calculus of variations with application to mean field games

Piermarco Cannarsa, Pierre Cardaliaguet, Rossana Capuani

arxiv:1806.08966 v1 · 2018-06-23 · 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{3BKIWTG7CAJHJ3MOM3RRSAMKND}

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	2026-05-18T00:12:30.727977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8548b4cdf101274ed8e66e319018a68c858a510985b36f2f913278df1b64f63

Aliases

arxiv: 1806.08966 · arxiv_version: 1806.08966v1 · doi: 10.48550/arxiv.1806.08966 · pith_short_12: 3BKIWTG7CAJH · pith_short_16: 3BKIWTG7CAJHJ3MO · pith_short_8: 3BKIWTG7

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/3BKIWTG7CAJHJ3MOM3RRSAMKND \
  | 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: d8548b4cdf101274ed8e66e319018a68c858a510985b36f2f913278df1b64f63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "792b81108439abf3ae8cf7fc133076ec6d4c8af45e47976207c2d653a7091363",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-06-23T14:00:04Z",
    "title_canon_sha256": "ed0d373f052a2827d5f343f1568c092db0ca4f096ccb7b14ad1d060febec6db2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08966",
    "kind": "arxiv",
    "version": 1
  }
}