Pith Number

pith:MTLDXTDN

pith:2016:MTLDXTDN2EUBOQNZS4HGTNRXVK

not attested not anchored not stored refs pending

Switching in time-optimal problem. The 3-D case with 2-D control

Andrei A. Agrachev, Carolina Biolo

arxiv:1605.05232 v2 · 2016-05-17 · 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{MTLDXTDN2EUBOQNZS4HGTNRXVK}

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	2026-05-18T01:14:12.071735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64d63bcc6dd1281741b9970e69b637aa96e966bf6dbb9fc7e0fc8003ad92feef

Aliases

arxiv: 1605.05232 · arxiv_version: 1605.05232v2 · doi: 10.48550/arxiv.1605.05232 · pith_short_12: MTLDXTDN2EUB · pith_short_16: MTLDXTDN2EUBOQNZ · pith_short_8: MTLDXTDN

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/MTLDXTDN2EUBOQNZS4HGTNRXVK \
  | 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: 64d63bcc6dd1281741b9970e69b637aa96e966bf6dbb9fc7e0fc8003ad92feef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2b653d968161ea55d9fea6fc2c8516bd4436654a9ae2b8dcc3d1b8b34363eb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-05-17T16:46:26Z",
    "title_canon_sha256": "09de5b41091783e95de2f6506ac141a14569ccecd8a6f7ee524e3128b45b2bca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05232",
    "kind": "arxiv",
    "version": 2
  }
}