Pith Number

pith:PI3BKWNX

pith:2019:PI3BKWNXI63JIOQ6FWLSSNDLNX

not attested not anchored not stored refs pending

Optimal Control Strategies for Active Particle Navigation

Benno Liebchen, Hartmut L\"owen

arxiv:1901.08382 v1 · 2019-01-24 · cond-mat.soft

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PI3BKWNXI63JIOQ6FWLSSNDLNX}

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	2026-05-17T23:55:35.622391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a361559b747b6943a1e2d9729346b6dff26a7f5e7b9606508508f30267cfec4

Aliases

arxiv: 1901.08382 · arxiv_version: 1901.08382v1 · doi: 10.48550/arxiv.1901.08382 · pith_short_12: PI3BKWNXI63J · pith_short_16: PI3BKWNXI63JIOQ6 · pith_short_8: PI3BKWNX

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/PI3BKWNXI63JIOQ6FWLSSNDLNX \
  | 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: 7a361559b747b6943a1e2d9729346b6dff26a7f5e7b9606508508f30267cfec4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea9c42d357eda442bdfbf686a4124f57fb759b1a2442523af43b0f003e11fe83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2019-01-24T12:46:50Z",
    "title_canon_sha256": "525a0625b503963a8cbecaad2c36eec8ecdad9add376b85072762be655352a61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08382",
    "kind": "arxiv",
    "version": 1
  }
}