Pith Number

pith:CXCPNA4E

pith:2012:CXCPNA4EXS4EM6AFLO4B6FJBYW

not attested not anchored not stored refs pending

Gross-Pitaevskii-Poisson equations for dipolar Bose-Einstein condensate with anisotropic confinement

Naoufel Ben Abdallah, Weizhu Bao, Yongyong Cai

arxiv:1212.4945 v1 · 2012-12-20 · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXCPNA4EXS4EM6AFLO4B6FJBYW}

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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	2026-05-18T03:38:04.281410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15c4f68384bcb84678055bb81f1521c5b7865698b8235a91b4a832a290f49d29

Aliases

arxiv: 1212.4945 · arxiv_version: 1212.4945v1 · doi: 10.48550/arxiv.1212.4945 · pith_short_12: CXCPNA4EXS4E · pith_short_16: CXCPNA4EXS4EM6AF · pith_short_8: CXCPNA4E

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/CXCPNA4EXS4EM6AFLO4B6FJBYW \
  | 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: 15c4f68384bcb84678055bb81f1521c5b7865698b8235a91b4a832a290f49d29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "634027ef3908247e84e2146262e9bb7613060ce0eb772104dec7248b92bc8f42",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-20T08:11:27Z",
    "title_canon_sha256": "9ed5f457fba3ebd3e3cc365add45886185db6f719b942cfa44c2f962bc49a3f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4945",
    "kind": "arxiv",
    "version": 1
  }
}