Pith Number

pith:52KDN4CH

pith:2014:52KDN4CHLIIDEQIMQKNM6IQ5LI

not attested not anchored not stored refs pending

Approximation Algorithms for Optimization of Combinatorial Dynamical Systems

Claire J. Tomlin, Insoon Yang, Ram Rajagopal, Samuel A. Burden, S. Shankar Sastry

arxiv:1409.7861 v2 · 2014-09-28 · 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{52KDN4CHLIIDEQIMQKNM6IQ5LI}

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	2026-05-18T01:01:00.674246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee9436f0475a1032410c829acf221d5a2ce29b9977b8a7d27d8413ca85ddfdf5

Aliases

arxiv: 1409.7861 · arxiv_version: 1409.7861v2 · doi: 10.48550/arxiv.1409.7861 · pith_short_12: 52KDN4CHLIID · pith_short_16: 52KDN4CHLIIDEQIM · pith_short_8: 52KDN4CH

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/52KDN4CHLIIDEQIMQKNM6IQ5LI \
  | 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: ee9436f0475a1032410c829acf221d5a2ce29b9977b8a7d27d8413ca85ddfdf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c77014dbca8d3bd2415036c1a8b7c8fbab37886af81e3fad1971d2bd7e99eac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-09-28T01:25:19Z",
    "title_canon_sha256": "5e9256e18da18f68a57c364b30fe6c6e6361f68a164ba5a09f1388eeb52b4710"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7861",
    "kind": "arxiv",
    "version": 2
  }
}