Pith Number

pith:A6E4ZHQ2

pith:2012:A6E4ZHQ2OUJX75FWJP3GG6DJVB

not attested not anchored not stored refs pending

Optimal bilinear control of Gross-Pitaevskii equations

Christof Sparber, Daniel Marahrens, Michael Hinterm\"uller, Peter A. Markowich

arxiv:1202.2306 v1 · 2012-02-10 · math.OC · cond-mat.quant-gas · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A6E4ZHQ2OUJX75FWJP3GG6DJVB}

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	2026-05-18T04:02:36.734078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0789cc9e1a75137ff4b64bf6637869a8687f7aafeaf54f7b116a5cf2afc9c8ff

Aliases

arxiv: 1202.2306 · arxiv_version: 1202.2306v1 · doi: 10.48550/arxiv.1202.2306 · pith_short_12: A6E4ZHQ2OUJX · pith_short_16: A6E4ZHQ2OUJX75FW · pith_short_8: A6E4ZHQ2

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/A6E4ZHQ2OUJX75FWJP3GG6DJVB \
  | 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: 0789cc9e1a75137ff4b64bf6637869a8687f7aafeaf54f7b116a5cf2afc9c8ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2595d0e83eea513611ccb3afe24492e36362f7ce549145028ed8135d1f178a74",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-02-10T16:54:08Z",
    "title_canon_sha256": "6ade82b0a4d8b4a5397bea34a7cf4e9da7335294b88a5265864b8e65ce15803e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2306",
    "kind": "arxiv",
    "version": 1
  }
}