Pith Number

pith:LOGIO2FW

pith:2011:LOGIO2FWY4MMIZLSGEOH2KROLW

not attested not anchored not stored refs pending

Quantum phase transitions of ultra-cold Bose system in non-rectangular optical lattices

Jun Zhang, Ying Jiang, Zhi Lin

arxiv:1112.4161 v1 · 2011-12-18 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LOGIO2FWY4MMIZLSGEOH2KROLW}

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	2026-05-18T03:54:37.336414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b8c8768b6c718c46572311c7d2a2e5d83595f100674d3f6535224d94c4b429d

Aliases

arxiv: 1112.4161 · arxiv_version: 1112.4161v1 · doi: 10.48550/arxiv.1112.4161 · pith_short_12: LOGIO2FWY4MM · pith_short_16: LOGIO2FWY4MMIZLS · pith_short_8: LOGIO2FW

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/LOGIO2FWY4MMIZLSGEOH2KROLW \
  | 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: 5b8c8768b6c718c46572311c7d2a2e5d83595f100674d3f6535224d94c4b429d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29cb809708b294b259dced01a54b379f196ae5394fb5a93e036e6e7ac528ad1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-12-18T14:21:37Z",
    "title_canon_sha256": "2edc64271285e5f4babe0edb36dbba841aa7281d568983652c5fbe32cbdfe57e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4161",
    "kind": "arxiv",
    "version": 1
  }
}