Pith Number

pith:4YR5EIJW

pith:2011:4YR5EIJW3SLJHNNREFX6727IMK

not attested not anchored not stored refs pending

Optimal Control of the Electronic Current Density - An application to one- and two-dimensional one-electron systems

Alberto Castro, David Kammerlander, Miguel A. L. Marques

arxiv:1101.1429 v3 · 2011-01-07 · quant-ph · cond-mat.other

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YR5EIJW3SLJHNNREFX6727IMK}

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	2026-05-18T02:04:11.903589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e623d22136dc9693b5b1216fefebe8629bc9d2aabcec2493c562a1be8813b903

Aliases

arxiv: 1101.1429 · arxiv_version: 1101.1429v3 · doi: 10.48550/arxiv.1101.1429 · pith_short_12: 4YR5EIJW3SLJ · pith_short_16: 4YR5EIJW3SLJHNNR · pith_short_8: 4YR5EIJW

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/4YR5EIJW3SLJHNNREFX6727IMK \
  | 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: e623d22136dc9693b5b1216fefebe8629bc9d2aabcec2493c562a1be8813b903

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44d31953525ea5354d3a99a3f4f3190a08917b8cb6a5a4634dcbe0268bee7c3d",
    "cross_cats_sorted": [
      "cond-mat.other"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-01-07T13:18:09Z",
    "title_canon_sha256": "89d0168b072d23dbccb4eb7709afe4614d4105ce3429c574a10ee861ddab685f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1429",
    "kind": "arxiv",
    "version": 3
  }
}