Pith Number

pith:7IARINCV

pith:2016:7IARINCVJ3XSTLNEKZGJTFTH3Z

not attested not anchored not stored refs pending

Structural stability of bang-bang trajectories with a double switching time in the minimum time problem

Laura Poggiolini

arxiv:1607.05564 v1 · 2016-07-19 · 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{7IARINCVJ3XSTLNEKZGJTFTH3Z}

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	2026-05-18T01:10:46.537397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa011434554eef29ada4564c999667de68fddec87d60f958a1428eca03ed3eba

Aliases

arxiv: 1607.05564 · arxiv_version: 1607.05564v1 · doi: 10.48550/arxiv.1607.05564 · pith_short_12: 7IARINCVJ3XS · pith_short_16: 7IARINCVJ3XSTLNE · pith_short_8: 7IARINCV

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/7IARINCVJ3XSTLNEKZGJTFTH3Z \
  | 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: fa011434554eef29ada4564c999667de68fddec87d60f958a1428eca03ed3eba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2cbcbadafab4466933b5ee04078b473778a4f80e7ae7ecb34d78bef343eabab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-07-19T13:13:00Z",
    "title_canon_sha256": "a984df8d8cfa460a93cca3221312d2e50b3567130a115fd8e6277a7a1464d99e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05564",
    "kind": "arxiv",
    "version": 1
  }
}