Pith Number

pith:TRKHZDM7

pith:2017:TRKHZDM7M4LASHKKL6AKFSQON4

not attested not anchored not stored refs pending

Optimal Control Problems with Symmetry Breaking Cost Functions

Anthony Bloch, Leonardo Colombo, Rohit Gupta, Tomoki Ohsawa

arxiv:1701.06973 v1 · 2017-01-24 · math.OC · cs.SY · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRKHZDM7M4LASHKKL6AKFSQON4}

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	2026-05-18T00:52:09.999671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c547c8d9f6716091d4a5f80a2ca0e6f05f433feffecae2d9d1b49fe370d96c0

Aliases

arxiv: 1701.06973 · arxiv_version: 1701.06973v1 · doi: 10.48550/arxiv.1701.06973 · pith_short_12: TRKHZDM7M4LA · pith_short_16: TRKHZDM7M4LASHKK · pith_short_8: TRKHZDM7

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/TRKHZDM7M4LASHKKL6AKFSQON4 \
  | 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: 9c547c8d9f6716091d4a5f80a2ca0e6f05f433feffecae2d9d1b49fe370d96c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "562c26254355bed35ec63727e97b539baead23e1687a25d5e665773a92b763d3",
    "cross_cats_sorted": [
      "cs.SY",
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-01-24T16:40:03Z",
    "title_canon_sha256": "2dda7c25d575d07e57804605bef5c81e921bd99b1587da350399e85e607a4d67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06973",
    "kind": "arxiv",
    "version": 1
  }
}