Pith Number

pith:OULXHDRP

pith:2012:OULXHDRPKTZQ4KYSL5EY6PC35T

not attested not anchored not stored refs pending

Derivation of the Bose-Hubbard model in the multiscale limit

Andrea Sacchetti, Reika Fukuizumi

arxiv:1208.5867 v1 · 2012-08-29 · math-ph · math.AP · 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{OULXHDRPKTZQ4KYSL5EY6PC35T}

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	2026-05-18T03:46:48.482074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7517738e2f54f30e2b125f498f3c5beccfd1e76b09fa6d11478472da9347ef44

Aliases

arxiv: 1208.5867 · arxiv_version: 1208.5867v1 · doi: 10.48550/arxiv.1208.5867 · pith_short_12: OULXHDRPKTZQ · pith_short_16: OULXHDRPKTZQ4KYS · pith_short_8: OULXHDRP

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/OULXHDRPKTZQ4KYSL5EY6PC35T \
  | 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: 7517738e2f54f30e2b125f498f3c5beccfd1e76b09fa6d11478472da9347ef44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b901e62b095bd545311214d5c83ffab427e1e686f1dcb07dd0d431841335fa02",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-29T09:19:37Z",
    "title_canon_sha256": "ffefab8bbe55830f53a742cf5a558a4fbf17afa76757e2714265e0fd21cd282c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5867",
    "kind": "arxiv",
    "version": 1
  }
}