Pith Number

pith:V7QWOOSH

pith:2024:V7QWOOSHVAQD27EGU4MGEKTMA4

not attested not anchored not stored refs pending

Gibbs measures as local equilibrium KMS states for focusing nonlinear Schr\"odinger equations

Andrew Rout, Vedran Sohinger, Zied Ammari

arxiv:2412.05354 v1 · 2024-12-06 · math.AP · math-ph · 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{V7QWOOSHVAQD27EGU4MGEKTMA4}

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	2026-07-05T09:46:01.884669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afe1673a47a8203d7c86a718622a6c0703a20d9bd06b457fa8cbbad5fadce256

Aliases

arxiv: 2412.05354 · arxiv_version: 2412.05354v1 · doi: 10.48550/arxiv.2412.05354 · pith_short_12: V7QWOOSHVAQD · pith_short_16: V7QWOOSHVAQD27EG · pith_short_8: V7QWOOSH

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/V7QWOOSHVAQD27EGU4MGEKTMA4 \
  | 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: afe1673a47a8203d7c86a718622a6c0703a20d9bd06b457fa8cbbad5fadce256

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b632a8924c8a88f0a6799477510c2dfe68a8e72f428680d6a4bde855721ea395",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-06T18:55:18Z",
    "title_canon_sha256": "017d740fee862a2b7348982549f43f7c4c2a8d6a2d1591ace388e33f283ed3d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.05354",
    "kind": "arxiv",
    "version": 1
  }
}