Pith Number

pith:QAZGVAM6

pith:2026:QAZGVAM67ZGS2EI4MIBNSKSQZF

not attested not anchored not stored refs pending

Standard basis operator method for ground-state and temperature properties of single and two-component Bose-Hubbard model

Oliwier Urba\'nski, Tomasz P. Polak

arxiv:2607.12718 v1 · 2026-07-14 · cond-mat.quant-gas

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QAZGVAM67ZGS2EI4MIBNSKSQZF}

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	2026-07-15T01:22:14.052501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80326a819efe4d2d111c6202d92a50c94a9532d8fe5c64edf1bcee830c1462e3

Aliases

arxiv: 2607.12718 · arxiv_version: 2607.12718v1 · doi: 10.48550/arxiv.2607.12718 · pith_short_12: QAZGVAM67ZGS · pith_short_16: QAZGVAM67ZGS2EI4 · pith_short_8: QAZGVAM6

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/QAZGVAM67ZGS2EI4MIBNSKSQZF \
  | 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: 80326a819efe4d2d111c6202d92a50c94a9532d8fe5c64edf1bcee830c1462e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91013ab479691aa6e272824a0901fa79e39cd35b9e7592321ef2a833f5c62b3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2026-07-14T12:43:03Z",
    "title_canon_sha256": "b977153aa1baf7a4788f2fa79217df6db0caad209e61a12d7ba8d8c1ce708afb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12718",
    "kind": "arxiv",
    "version": 1
  }
}