Pith Number

pith:SLNR7JSC

pith:2012:SLNR7JSCDJP7EMDHK3RGCWXDQ4

not attested not anchored not stored refs pending

Bogoliubov spectrum of interacting Bose gases

Jan Philip Solovej, Mathieu Lewin (AGM), Phan Th\`anh Nam (AGM), Sylvia Serfaty (LJLL)

arxiv:1211.2778 v4 · 2012-11-12 · math-ph · math.AP · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SLNR7JSCDJP7EMDHK3RGCWXDQ4}

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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.

Cited by

1 paper in Pith

Collective excitations in quantum gravity condensates

Receipt and verification

First computed	2026-05-18T02:56:44.444446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92db1fa6421a5ff2306756e2615ae387264be8dc2a5f1b0795c1a2755b8d17e5

Aliases

arxiv: 1211.2778 · arxiv_version: 1211.2778v4 · doi: 10.48550/arxiv.1211.2778 · pith_short_12: SLNR7JSCDJP7 · pith_short_16: SLNR7JSCDJP7EMDH · pith_short_8: SLNR7JSC

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/SLNR7JSCDJP7EMDHK3RGCWXDQ4 \
  | 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: 92db1fa6421a5ff2306756e2615ae387264be8dc2a5f1b0795c1a2755b8d17e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02e5f04cd6721a339c02728ab8ef5422447d366b12aa04e8cf73c9f4137fd499",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-12T20:42:05Z",
    "title_canon_sha256": "902c7f2956a668e5494e1979b2fb7b7930a694f6ec0466eb4094d566cc2763c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2778",
    "kind": "arxiv",
    "version": 4
  }
}