Pith Number

pith:ZLK3SP2C

pith:2013:ZLK3SP2CUTSOT423CTGZM7KBOG

not attested not anchored not stored refs pending

Structural stability for bang--singular--bang extremals in the minimum time problem

Gianna Stefani, Laura Poggiolini

arxiv:1305.2773 v1 · 2013-05-13 · 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{ZLK3SP2CUTSOT423CTGZM7KBOG}

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	2026-05-18T03:25:47.371737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad5b93f42a4e4e9f35b14cd967d4171bfeef3c7a8d441b8a954be167197e915

Aliases

arxiv: 1305.2773 · arxiv_version: 1305.2773v1 · doi: 10.48550/arxiv.1305.2773 · pith_short_12: ZLK3SP2CUTSO · pith_short_16: ZLK3SP2CUTSOT423 · pith_short_8: ZLK3SP2C

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/ZLK3SP2CUTSOT423CTGZM7KBOG \
  | 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: cad5b93f42a4e4e9f35b14cd967d4171bfeef3c7a8d441b8a954be167197e915

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e18c7d3825dab98305d9947a11e58fff6f8a076e383f1434269bc82ae8eff2d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-05-13T13:30:45Z",
    "title_canon_sha256": "c03b7627b18d7c1956ae574c906b9acb7b3205030f485b8ca14b0c707449b6c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2773",
    "kind": "arxiv",
    "version": 1
  }
}