Pith Number

pith:Z7LLX2ON

pith:2017:Z7LLX2ONMKPD4QJAUZWCWUIX4V

not attested not anchored not stored refs pending

Fluctuations of $N$-particle quantum dynamics around the nonlinear Schr\"odinger equation

Benjamin Schlein, Christian Brennecke, Marcin Napi\'orkowski, Phan Th\`anh Nam

arxiv:1710.09743 v2 · 2017-10-26 · 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{Z7LLX2ONMKPD4QJAUZWCWUIX4V}

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	2026-05-18T00:02:28.133632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfd6bbe9cd629e3e4120a66c2b5117e57b1924693a1d193d7db2597389977027

Aliases

arxiv: 1710.09743 · arxiv_version: 1710.09743v2 · doi: 10.48550/arxiv.1710.09743 · pith_short_12: Z7LLX2ONMKPD · pith_short_16: Z7LLX2ONMKPD4QJA · pith_short_8: Z7LLX2ON

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/Z7LLX2ONMKPD4QJAUZWCWUIX4V \
  | 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: cfd6bbe9cd629e3e4120a66c2b5117e57b1924693a1d193d7db2597389977027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0b5956b16c253ef28d4535d59ac9782a0b9c339c6ac422efa72aed30a24490d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-10-26T15:01:26Z",
    "title_canon_sha256": "2289a704d3239afb30e7d440a2dd5e25aa7fbf26657e8d0009887f77ef773e68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09743",
    "kind": "arxiv",
    "version": 2
  }
}