Pith Number

pith:2V6GMVRG

pith:2016:2V6GMVRGPO5JXHWF6HQZJWAJ3X

not attested not anchored not stored refs pending

Gibbs measures of nonlinear Schr\"odinger equations as limits of many-body quantum states in dimensions $d \leq 3$

Antti Knowles, Benjamin Schlein, J\"urg Fr\"ohlich, Vedran Sohinger

arxiv:1605.07095 v6 · 2016-05-23 · math-ph · math.AP · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2V6GMVRGPO5JXHWF6HQZJWAJ3X}

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	2026-05-17T23:55:23.450002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d57c6656267bba9b9ec5f1e194d809ddfca50a22152ad665993f9cdfd3d4880c

Aliases

arxiv: 1605.07095 · arxiv_version: 1605.07095v6 · doi: 10.48550/arxiv.1605.07095 · pith_short_12: 2V6GMVRGPO5J · pith_short_16: 2V6GMVRGPO5JXHWF · pith_short_8: 2V6GMVRG

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/2V6GMVRGPO5JXHWF6HQZJWAJ3X \
  | 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: d57c6656267bba9b9ec5f1e194d809ddfca50a22152ad665993f9cdfd3d4880c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9a07f695e4163d5d224e6d102f1a1d3b1eb81adcb34cbd88065fba4d17a2954",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-05-23T17:09:34Z",
    "title_canon_sha256": "47bce094e2de6ec26d9ef64876142b7ca6e3a01cb74b34ab1328e0dfe222abd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07095",
    "kind": "arxiv",
    "version": 6
  }
}