Pith Number

pith:MFNONA33

pith:2024:MFNONA333ISH6FCBIJEBDKLXTJ

not attested not anchored not stored refs pending

Expansion of the Many-body Quantum Gibbs State of the Bose-Hubbard Model on a Finite Graph

Shahnaz Farhat, S\"oren Petrat, Zied Ammari

arxiv:2405.04055 v1 · 2024-05-07 · 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{MFNONA333ISH6FCBIJEBDKLXTJ}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T08:16:31.256843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

615ae6837bda247f1441424811a9779a57f9e07b3e9709a1d1f20bc724243d26

Aliases

arxiv: 2405.04055 · arxiv_version: 2405.04055v1 · doi: 10.48550/arxiv.2405.04055 · pith_short_12: MFNONA333ISH · pith_short_16: MFNONA333ISH6FCB · pith_short_8: MFNONA33

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/MFNONA333ISH6FCBIJEBDKLXTJ \
  | 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: 615ae6837bda247f1441424811a9779a57f9e07b3e9709a1d1f20bc724243d26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23dba4a16a41cfb87521e84e75032c2032066d017c47b51bc2105bcdd67570fa",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-05-07T06:56:11Z",
    "title_canon_sha256": "aeee3e34027ad25068496add3a0f38e8eafb6f7792d4d3341bb96c9ee7edb8d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.04055",
    "kind": "arxiv",
    "version": 1
  }
}