Pith Number

pith:YFZ3S35E

pith:2016:YFZ3S35E2D2IIYMA5OGHIFUHLT

not attested not anchored not stored refs pending

Switching in time-optimal problem with control in a ball

Andrei A. Agrachev, Carolina Biolo

arxiv:1610.06755 v3 · 2016-10-21 · 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{YFZ3S35E2D2IIYMA5OGHIFUHLT}

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	2026-05-18T00:37:52.755352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c173b96fa4d0f4846180eb8c7416875cec499a9825a5267d94a84855dcbd513d

Aliases

arxiv: 1610.06755 · arxiv_version: 1610.06755v3 · doi: 10.48550/arxiv.1610.06755 · pith_short_12: YFZ3S35E2D2I · pith_short_16: YFZ3S35E2D2IIYMA · pith_short_8: YFZ3S35E

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/YFZ3S35E2D2IIYMA5OGHIFUHLT \
  | 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: c173b96fa4d0f4846180eb8c7416875cec499a9825a5267d94a84855dcbd513d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c851a0e9b7236820ae40935055f134dc46237608e1613aa8d48640a30d8506d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-10-21T12:13:55Z",
    "title_canon_sha256": "a911fd7086281b3b411932912b818fcfd7a2089046c226c38b87cff02d8abc69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06755",
    "kind": "arxiv",
    "version": 3
  }
}