Pith Number

pith:LFY2NHXD

pith:2012:LFY2NHXDKIACQLDRBAIIWOBTFH

not attested not anchored not stored refs pending

Mathematical theory and numerical methods for Bose-Einstein condensation

Weizhu Bao, Yongyong Cai

arxiv:1212.5341 v1 · 2012-12-21 · 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{LFY2NHXDKIACQLDRBAIIWOBTFH}

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.

Cited by

1 paper in Pith

Reduced density matrix approach to one-dimensional ultracold bosonic systems

Receipt and verification

First computed	2026-05-18T00:53:16.115082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5971a69ee35200282c7108108b383329c3bec62823ca116d63f9129c135ff5e4

Aliases

arxiv: 1212.5341 · arxiv_version: 1212.5341v1 · doi: 10.48550/arxiv.1212.5341 · pith_short_12: LFY2NHXDKIAC · pith_short_16: LFY2NHXDKIACQLDR · pith_short_8: LFY2NHXD

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/LFY2NHXDKIACQLDRBAIIWOBTFH \
  | 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: 5971a69ee35200282c7108108b383329c3bec62823ca116d63f9129c135ff5e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5489e2fde869285d114f84dd6622248b8fee996b248a2531b79b6b380143ad9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2012-12-21T05:56:02Z",
    "title_canon_sha256": "9404f820e650c8b6ebbb4b89ea138a86cc14fa8b21668659c58167d0baa9d56c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5341",
    "kind": "arxiv",
    "version": 1
  }
}