Pith Number

pith:C4WDTIO5

pith:2012:C4WDTIO5RRHYYULXMUFZ3A7XB5

not attested not anchored not stored refs pending

Renormalization group analysis of $p$-orbital Bose-Einstein condensates in a square optical lattice

Boyang Liu, Wu-Ming Liu, Xiao-Lu Yu

arxiv:1211.2595 v4 · 2012-11-12 · 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{C4WDTIO5RRHYYULXMUFZ3A7XB5}

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	2026-05-18T02:31:12.287764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

172c39a1dd8c4f8c5177650b9d83f70f71b8c2cb376f965035fe17e21aeff765

Aliases

arxiv: 1211.2595 · arxiv_version: 1211.2595v4 · doi: 10.48550/arxiv.1211.2595 · pith_short_12: C4WDTIO5RRHY · pith_short_16: C4WDTIO5RRHYYULX · pith_short_8: C4WDTIO5

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/C4WDTIO5RRHYYULXMUFZ3A7XB5 \
  | 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: 172c39a1dd8c4f8c5177650b9d83f70f71b8c2cb376f965035fe17e21aeff765

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ba12b52d4bdc98377ddf98c95e7e6c59d41e233f371882b013d5732557c4272",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2012-11-12T12:49:20Z",
    "title_canon_sha256": "f91f21218a5738ed8deeb884cefb4df13571d683024e325866aedade77da8cd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2595",
    "kind": "arxiv",
    "version": 4
  }
}