Pith Number

pith:DUCBULU7

pith:2013:DUCBULU7ZEXUCTIO5PQVV6T3LB

not attested not anchored not stored refs pending

Partition function of N composite bosons

Monique Combescot, Shiue-yuan Shiau, Yia-Chung Chang

arxiv:1312.2055 v1 · 2013-12-07 · cond-mat.stat-mech · cond-mat.quant-gas · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DUCBULU7ZEXUCTIO5PQVV6T3LB}

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	2026-05-18T00:55:26.026876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d041a2e9fc92f414d0eebe15afa7b5855a31a405a365dc468318db6c677140c

Aliases

arxiv: 1312.2055 · arxiv_version: 1312.2055v1 · doi: 10.48550/arxiv.1312.2055 · pith_short_12: DUCBULU7ZEXU · pith_short_16: DUCBULU7ZEXUCTIO · pith_short_8: DUCBULU7

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/DUCBULU7ZEXUCTIO5PQVV6T3LB \
  | 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: 1d041a2e9fc92f414d0eebe15afa7b5855a31a405a365dc468318db6c677140c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f756ac534d58c4ac98daa73748af0d2c7b4c484d00d15c5f21456722c53d7bee",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-12-07T03:37:00Z",
    "title_canon_sha256": "6583a751d780938c610ba60f40be952558060a5af77f78fe66eb5f3c76b9e1df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2055",
    "kind": "arxiv",
    "version": 1
  }
}