Pith Number

pith:TB24TOMN

pith:2011:TB24TOMNGNEIOA5JIACQMH6VVU

not attested not anchored not stored refs pending

Quantum phase transitions in optical lattices beyond Bogoliubov approximation

Abdulla Rakhimov, H. Kleinert, Z. Narzikulov

arxiv:1108.4695 v3 · 2011-08-23 · 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{TB24TOMNGNEIOA5JIACQMH6VVU}

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	2026-05-18T03:54:26.121358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9875c9b98d33488703a94005061fd5ad2d1aadfc62290e015fa17241d6453e21

Aliases

arxiv: 1108.4695 · arxiv_version: 1108.4695v3 · doi: 10.48550/arxiv.1108.4695 · pith_short_12: TB24TOMNGNEI · pith_short_16: TB24TOMNGNEIOA5J · pith_short_8: TB24TOMN

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/TB24TOMNGNEIOA5JIACQMH6VVU \
  | 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: 9875c9b98d33488703a94005061fd5ad2d1aadfc62290e015fa17241d6453e21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ff8bd74d406258114fe3a89c11d56af0eacbc4d5cf793d5fbf43b32b0d25fb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2011-08-23T20:13:12Z",
    "title_canon_sha256": "f80d505003f52b6dd60b5b0968eff3b2886aa34a3deec3a5f107f000a7c6dd80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4695",
    "kind": "arxiv",
    "version": 3
  }
}