Pith Number

pith:C5OA6HFV

pith:2012:C5OA6HFV6MCPNSIF5YXSABCPGJ

not attested not anchored not stored refs pending

Quantitative Derivation of the Gross-Pitaevskii Equation

Benjamin Schlein, Gustavo de Oliveira, Niels Benedikter

arxiv:1208.0373 v2 · 2012-08-01 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C5OA6HFV6MCPNSIF5YXSABCPGJ}

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	2026-05-17T23:48:41.247535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

175c0f1cb5f304f6c905ee2f20044f3240f0cd950d34870c26985432c7e92e48

Aliases

arxiv: 1208.0373 · arxiv_version: 1208.0373v2 · doi: 10.48550/arxiv.1208.0373 · pith_short_12: C5OA6HFV6MCP · pith_short_16: C5OA6HFV6MCPNSIF · pith_short_8: C5OA6HFV

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/C5OA6HFV6MCPNSIF5YXSABCPGJ \
  | 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: 175c0f1cb5f304f6c905ee2f20044f3240f0cd950d34870c26985432c7e92e48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9a374832c374195259f1968ead52402ef7124c4817712ba46e3099f051db95c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-01T22:52:55Z",
    "title_canon_sha256": "70282812fc938a9c00d5d48a4adb235a733cefcf0ad8c1d2c9f8c1fd761d804e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0373",
    "kind": "arxiv",
    "version": 2
  }
}