Pith Number

pith:ET4Y6HIB

pith:2019:ET4Y6HIB43JSXXFIDIYMRTZCLU

not attested not anchored not stored refs pending

Invariant Gibbs measures and global strong solutions for nonlinear Schr\"odinger equations in dimension two

Andrea R. Nahmod, Haitian Yue, Yu Deng

arxiv:1910.08492 v2 · 2019-10-18 · math.AP · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ET4Y6HIB43JSXXFIDIYMRTZCLU}

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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.

Cited by

1 paper in Pith

$\Phi^4_3$ Theory from many-body quantum Gibbs states

Receipt and verification

First computed	2026-07-05T08:09:21.724365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24f98f1d01e6d32bdca81a30c8cf225d2c18bb41ad1cd505299e67a4978a6a6e

Aliases

arxiv: 1910.08492 · arxiv_version: 1910.08492v2 · doi: 10.48550/arxiv.1910.08492 · pith_short_12: ET4Y6HIB43JS · pith_short_16: ET4Y6HIB43JSXXFI · pith_short_8: ET4Y6HIB

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/ET4Y6HIB43JSXXFIDIYMRTZCLU \
  | 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: 24f98f1d01e6d32bdca81a30c8cf225d2c18bb41ad1cd505299e67a4978a6a6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98f222d9c87f5d179ded8b9d2e80245436a0dbdb4c561f7313bfd628cb3fecbc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-10-18T16:24:41Z",
    "title_canon_sha256": "2a55bef6092251b84d2c4de895241c1ccd6850ac61cc640e8b187959b0c4edf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.08492",
    "kind": "arxiv",
    "version": 2
  }
}