Pith Number

pith:V5QM5S3C

pith:2017:V5QM5S3CXWM7VS3SY4EMQWQS4C

not attested not anchored not stored refs pending

A shape optimal control problem and its probabilistic counterpart

Bozhidar Velichkov, Giuseppe Buttazzo

arxiv:1704.06490 v1 · 2017-04-21 · 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{V5QM5S3CXWM7VS3SY4EMQWQS4C}

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	2026-05-18T00:45:59.545782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af60cecb62bd99facb72c708c85a12e087cb3a6268d3a7915d39750fe0d6ea9c

Aliases

arxiv: 1704.06490 · arxiv_version: 1704.06490v1 · doi: 10.48550/arxiv.1704.06490 · pith_short_12: V5QM5S3CXWM7 · pith_short_16: V5QM5S3CXWM7VS3S · pith_short_8: V5QM5S3C

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/V5QM5S3CXWM7VS3SY4EMQWQS4C \
  | 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: af60cecb62bd99facb72c708c85a12e087cb3a6268d3a7915d39750fe0d6ea9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa4d1568556e2a61a22455681e6aafa092808cbe513f208d80e16126a2f6d56f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-04-21T11:40:45Z",
    "title_canon_sha256": "2ba6b0cbbb9037a6fee276fba6130fd2daa482d27fe0ddd0690a8f7d74e51297"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06490",
    "kind": "arxiv",
    "version": 1
  }
}