Pith Number

pith:5IC7SUUX

pith:2011:5IC7SUUXHACBVMKBNO6KD4OKN4

not attested not anchored not stored refs pending

Gradient flow for controlling quantum ensemble

Herschel Rabitz, Ruixing Long

arxiv:1109.6364 v2 · 2011-09-28 · 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{5IC7SUUXHACBVMKBNO6KD4OKN4}

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	2026-05-18T04:12:00.342542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea05f9529738041ab1416bbca1f1ca6f1bbc915f12164a1ceb2f83a8547e716a

Aliases

arxiv: 1109.6364 · arxiv_version: 1109.6364v2 · doi: 10.48550/arxiv.1109.6364 · pith_short_12: 5IC7SUUXHACB · pith_short_16: 5IC7SUUXHACBVMKB · pith_short_8: 5IC7SUUX

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/5IC7SUUXHACBVMKBNO6KD4OKN4 \
  | 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: ea05f9529738041ab1416bbca1f1ca6f1bbc915f12164a1ceb2f83a8547e716a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aacfe4127b48316d7f479158dcc9068b41bf26e452ec01241d40bea39e641962",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-09-28T22:23:17Z",
    "title_canon_sha256": "d3c81be0320faedd03bb6cd46fe622beb9435910fffdbcb011a1a50463ec74df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6364",
    "kind": "arxiv",
    "version": 2
  }
}