Pith Number

pith:JQMMKVEU

pith:2015:JQMMKVEU5TXLB47JFTJPZNF7DZ

not attested not anchored not stored refs pending

Microscopic theory of a phase transition in a critical region: Bose-Einstein condensation in an interacting gas

Vitaly V. Kocharovsky, Vladimir V. Kocharovsky

arxiv:1510.07333 v1 · 2015-10-26 · 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{JQMMKVEU5TXLB47JFTJPZNF7DZ}

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	2026-05-18T01:25:56.973109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c18c55494eceeb0f3e92cd2fcb4bf1e5afbd1b532363bdbb67258c06ebc6eef

Aliases

arxiv: 1510.07333 · arxiv_version: 1510.07333v1 · doi: 10.48550/arxiv.1510.07333 · pith_short_12: JQMMKVEU5TXL · pith_short_16: JQMMKVEU5TXLB47J · pith_short_8: JQMMKVEU

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/JQMMKVEU5TXLB47JFTJPZNF7DZ \
  | 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: 4c18c55494eceeb0f3e92cd2fcb4bf1e5afbd1b532363bdbb67258c06ebc6eef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4b812bda4ddaeed2f1bd6887db434d29bc66d8b57b7e1280493ed89eb8d47a6",
    "cross_cats_sorted": [
      "cond-mat.quant-gas"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-10-26T00:17:54Z",
    "title_canon_sha256": "59cf223f2cc15d541e7851d734bdb145f099e18f796fd0495b0b150f95d5f49b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07333",
    "kind": "arxiv",
    "version": 1
  }
}