Pith Number

pith:FBRKPTCF

pith:2011:FBRKPTCF4XGDKL4PYT4QKAO3US

not attested not anchored not stored refs pending

Quantum Phase Transitions and Heat Capacity in a two-atoms Bose-Hubbard Model

A. Messina, A. Napoli, B. Leggio

arxiv:1107.1611 v1 · 2011-07-08 · quant-ph · 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{FBRKPTCF4XGDKL4PYT4QKAO3US}

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	2026-05-18T02:01:21.345032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2862a7cc45e5cc352f8fc4f90501dba4898f475c9f5db1d5745d6519d04ad333

Aliases

arxiv: 1107.1611 · arxiv_version: 1107.1611v1 · doi: 10.48550/arxiv.1107.1611 · pith_short_12: FBRKPTCF4XGD · pith_short_16: FBRKPTCF4XGDKL4P · pith_short_8: FBRKPTCF

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/FBRKPTCF4XGDKL4PYT4QKAO3US \
  | 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: 2862a7cc45e5cc352f8fc4f90501dba4898f475c9f5db1d5745d6519d04ad333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89dd8d96023344fbb8a43b5d90373f78a4304b8d9235ad418c10ba27e130a4db",
    "cross_cats_sorted": [
      "cond-mat.quant-gas"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-07-08T11:34:10Z",
    "title_canon_sha256": "3bc98b6cccbc28c921f878d065e1eddf983933ea4e5e45d81b9c2fd7214e372d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1611",
    "kind": "arxiv",
    "version": 1
  }
}