Pith Number

pith:AWTZBTWZ

pith:2010:AWTZBTWZV7NGS2WVDQFP23YH3I

not attested not anchored not stored refs pending

Variational methods with coupled Gaussian functions for Bose-Einstein condensates with long-range interactions. II. Applications

G\"unter Wunner, Holger Cartarius, J\"org Main, Patrick K\"oberle, Stefan Rau

arxiv:1007.3182 v2 · 2010-07-19 · cond-mat.quant-gas · nlin.CD · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AWTZBTWZV7NGS2WVDQFP23YH3I}

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	2026-05-18T04:42:13.495479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05a790ced9afda696ad51c0afd6f07da335840f92a0d1913bb0b209091ae8229

Aliases

arxiv: 1007.3182 · arxiv_version: 1007.3182v2 · doi: 10.48550/arxiv.1007.3182 · pith_short_12: AWTZBTWZV7NG · pith_short_16: AWTZBTWZV7NGS2WV · pith_short_8: AWTZBTWZ

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/AWTZBTWZV7NGS2WVDQFP23YH3I \
  | 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: 05a790ced9afda696ad51c0afd6f07da335840f92a0d1913bb0b209091ae8229

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8379dd932541888149745e7acb56e3f8c73650cbc1424b1170ac966fbdd819cb",
    "cross_cats_sorted": [
      "nlin.CD",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2010-07-19T15:25:04Z",
    "title_canon_sha256": "548b4d62fe1f0f6ff89c579bc5584ee96608e28ec5ad7aca04b88ed466567650"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3182",
    "kind": "arxiv",
    "version": 2
  }
}