Pith Number

pith:PQKOJ7Q6

pith:2005:PQKOJ7Q6GLHSGRE3O26IBYKVFJ

not attested not anchored not stored refs pending

A Discrete Variational Integrator for Optimal Control Problems on SO(3)

Amit K. Sanyal, Anthony M. Bloch, Islam I. Hussein, Melvin Leok

arxiv:math/0509536 v3 · 2005-09-23 · 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{PQKOJ7Q6GLHSGRE3O26IBYKVFJ}

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	2026-05-18T00:58:05.010264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c14e4fe1e32cf23449b76bc80e1552a7283d215fada83d18475344d5f30d93d

Aliases

arxiv: math/0509536 · arxiv_version: math/0509536v3 · doi: 10.48550/arxiv.math/0509536 · pith_short_12: PQKOJ7Q6GLHS · pith_short_16: PQKOJ7Q6GLHSGRE3 · pith_short_8: PQKOJ7Q6

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/PQKOJ7Q6GLHSGRE3O26IBYKVFJ \
  | 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: 7c14e4fe1e32cf23449b76bc80e1552a7283d215fada83d18475344d5f30d93d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63cdd30cc7a3f56f3d3586015b9ed1d559fbdfcce61280b94d4a45084101a256",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2005-09-23T03:03:33Z",
    "title_canon_sha256": "c70718d6a0382baeed279a6d8e75f20ae01c98f74f15ce75546be45c4d6d8975"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509536",
    "kind": "arxiv",
    "version": 3
  }
}