Pith Number

pith:O4PUKZHX

pith:2010:O4PUKZHXCPKFLRXJSV7JQHPRQS

not attested not anchored not stored refs pending

Equipartition of Mass in Nonlinear Schr\"odinger / Gross-Pitaevskii Equations

Michael I. Weinstein, Zhou Gang

arxiv:1011.2192 v2 · 2010-11-09 · math.AP · math-ph · math.MP · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4PUKZHXCPKFLRXJSV7JQHPRQS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:36:32.825064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

771f4564f713d455c6e9957e981df184b21b5705ae17e28586c5958e247a6433

Aliases

arxiv: 1011.2192 · arxiv_version: 1011.2192v2 · doi: 10.48550/arxiv.1011.2192 · pith_short_12: O4PUKZHXCPKF · pith_short_16: O4PUKZHXCPKFLRXJ · pith_short_8: O4PUKZHX

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/O4PUKZHXCPKFLRXJSV7JQHPRQS \
  | 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: 771f4564f713d455c6e9957e981df184b21b5705ae17e28586c5958e247a6433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a73c353bcc9f589e31c60ff54f007dd8b7f010682f7987edd77eee9027151c5e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-09T20:28:48Z",
    "title_canon_sha256": "1d85f0120a87dbe36d7f4c372768de5974e1674f4a0e129633112a50a357ea17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2192",
    "kind": "arxiv",
    "version": 2
  }
}