Pith Number

pith:2Y6TDFYI

pith:2026:2Y6TDFYI4VZWNSCUGKWMIF7VEE

not attested not anchored not stored refs pending

Coherent Bose-Einstein condensation with fluctuating density

A. Crisanti, A. Sarracino, L. Salasnich, M. Zannetti

arxiv:2607.12926 v1 · 2026-07-14 · cond-mat.stat-mech · 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{2Y6TDFYI4VZWNSCUGKWMIF7VEE}

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	2026-07-15T01:22:25.522352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d63d319708e57366c85432acc417f5211061c16a2809906bdf27fb12ce385120

Aliases

arxiv: 2607.12926 · arxiv_version: 2607.12926v1 · doi: 10.48550/arxiv.2607.12926 · pith_short_12: 2Y6TDFYI4VZW · pith_short_16: 2Y6TDFYI4VZWNSCU · pith_short_8: 2Y6TDFYI

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/2Y6TDFYI4VZWNSCUGKWMIF7VEE \
  | 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: d63d319708e57366c85432acc417f5211061c16a2809906bdf27fb12ce385120

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc18402417508cfdf4f150dad18d6907d5ab7d728ae3044211fef2b37d5a4da1",
    "cross_cats_sorted": [
      "cond-mat.quant-gas"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-07-14T15:59:15Z",
    "title_canon_sha256": "c23d71cb5f921d56f46ed73214bc26538b52397797f35bb8d5c2fe335b0559f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12926",
    "kind": "arxiv",
    "version": 1
  }
}