Pith Number

pith:AC5ZBJ7G

pith:2010:AC5ZBJ7GCW3YKGA77NNQU3WDUA

not attested not anchored not stored refs pending

Bogoliubov Theory of Disordered Bose-Einstein Condensates

Christopher Gaul, Cord A. M\"uller

arxiv:1009.5448 v2 · 2010-09-28 · cond-mat.dis-nn · 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{AC5ZBJ7GCW3YKGA77NNQU3WDUA}

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	2026-05-18T04:22:11.356114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00bb90a7e615b785181ffb5b0a6ec3a01f5bcd6c5119048db3c6fcdaa06a1abb

Aliases

arxiv: 1009.5448 · arxiv_version: 1009.5448v2 · doi: 10.48550/arxiv.1009.5448 · pith_short_12: AC5ZBJ7GCW3Y · pith_short_16: AC5ZBJ7GCW3YKGA7 · pith_short_8: AC5ZBJ7G

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/AC5ZBJ7GCW3YKGA77NNQU3WDUA \
  | 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: 00bb90a7e615b785181ffb5b0a6ec3a01f5bcd6c5119048db3c6fcdaa06a1abb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a120d3bfee6f4c16287e92c1e5306919194cfa9f329bc5fdf38d6e84112d834",
    "cross_cats_sorted": [
      "cond-mat.quant-gas"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2010-09-28T05:35:14Z",
    "title_canon_sha256": "eef672cf1afc7d2101c21c0f286ea0b131944cdec1d6370c61e3e42b383f346c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5448",
    "kind": "arxiv",
    "version": 2
  }
}