Pith Number

pith:WSW2ZM4P

pith:2011:WSW2ZM4PMUWT4JOUJAREE4TYWP

not attested not anchored not stored refs pending

Large-distance and long-time asymptotic behavior of the reduced density matrix in the non-linear Schr\"{o}dinger model

K. K. Kozlowski

arxiv:1101.1626 v3 · 2011-01-08 · math-ph · hep-th · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WSW2ZM4PMUWT4JOUJAREE4TYWP}

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	2026-05-18T04:22:49.823192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4adacb38f652d3e25d44822427278b3ca46d3050fb27653095638b67bb9666c

Aliases

arxiv: 1101.1626 · arxiv_version: 1101.1626v3 · doi: 10.48550/arxiv.1101.1626 · pith_short_12: WSW2ZM4PMUWT · pith_short_16: WSW2ZM4PMUWT4JOU · pith_short_8: WSW2ZM4P

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/WSW2ZM4PMUWT4JOUJAREE4TYWP \
  | 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: b4adacb38f652d3e25d44822427278b3ca46d3050fb27653095638b67bb9666c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0123829d5df20763e682acfb4aca0dabef78c3cb59d51bf13704099ef5159d9",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-08T22:28:46Z",
    "title_canon_sha256": "d522b79e24771f5883dade1a6a7df332637fe4a42e713f8aa38fbcb9cb68dd32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1626",
    "kind": "arxiv",
    "version": 3
  }
}