Pith Number

pith:CP2ZORPE

pith:2009:CP2ZORPEY77QNTFTF3UER7KHOT

not attested not anchored not stored refs pending

On the nature of Bose-Einstein condensation in disordered systems

Joseph V. Pul\'e, Thomas Jaeck, Valentin Zagrebnov (CPT)

arxiv:0905.4790 v1 · 2009-05-29 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CP2ZORPEY77QNTFTF3UER7KHOT}

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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	2026-05-18T02:13:30.897529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13f59745e4c7ff06ccb32ee848fd4774fde7fb757e34f84665c03073768a2774

Aliases

arxiv: 0905.4790 · arxiv_version: 0905.4790v1 · doi: 10.48550/arxiv.0905.4790 · pith_short_12: CP2ZORPEY77Q · pith_short_16: CP2ZORPEY77QNTFT · pith_short_8: CP2ZORPE

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/CP2ZORPEY77QNTFTF3UER7KHOT \
  | 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: 13f59745e4c7ff06ccb32ee848fd4774fde7fb757e34f84665c03073768a2774

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "346acbb21912b1f5540ac5d571f6b6de035f91cec790f8dfca29afc0fb47588d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-05-29T06:25:09Z",
    "title_canon_sha256": "60a9b79eb0aa945d3d21754d0d4fb85553b86cced0e9a0bb5b07500d830aa78b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4790",
    "kind": "arxiv",
    "version": 1
  }
}