Pith Number

pith:R5X4XNLE

pith:2011:R5X4XNLEFOSQFBH22YNA5BWQXU

not attested not anchored not stored refs pending

A projection operator approach to the Bose-Hubbard model

Anirban Dutta, C. Trefzger, K. Sengupta

arxiv:1111.5085 v3 · 2011-11-22 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R5X4XNLEFOSQFBH22YNA5BWQXU}

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	2026-05-18T01:59:27.136331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f6fcbb5642ba50284fad61a0e86d0bd148727eb5f18fb333ee00b6e80210454

Aliases

arxiv: 1111.5085 · arxiv_version: 1111.5085v3 · doi: 10.48550/arxiv.1111.5085 · pith_short_12: R5X4XNLEFOSQ · pith_short_16: R5X4XNLEFOSQFBH2 · pith_short_8: R5X4XNLE

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/R5X4XNLEFOSQFBH22YNA5BWQXU \
  | 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: 8f6fcbb5642ba50284fad61a0e86d0bd148727eb5f18fb333ee00b6e80210454

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97c8c510e722f52310d59cdb333119f7fdd56d94d4b2a42b051b292199114bf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2011-11-22T04:30:52Z",
    "title_canon_sha256": "cee8f028da983d118e9c7d07b3fc1639381697e82619e1968d4d14f9f4596689"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5085",
    "kind": "arxiv",
    "version": 3
  }
}