Pith Number

pith:ZBGAUXAI

pith:2010:ZBGAUXAIK4CM4YS6ZKPQSPR2MW

not attested not anchored not stored refs pending

The second critical point for the Perfect Bose gas in quasi-one-dimensional traps

Mathieu Beau (CPT), Valentin A. Zagrebnov (CPT)

arxiv:1009.1511 v2 · 2010-09-08 · 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{ZBGAUXAIK4CM4YS6ZKPQSPR2MW}

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	2026-05-18T04:41:04.817500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c84c0a5c085704ce625eca9f093e3a65bf4f24d86567d2da6a66860cc424dba8

Aliases

arxiv: 1009.1511 · arxiv_version: 1009.1511v2 · doi: 10.48550/arxiv.1009.1511 · pith_short_12: ZBGAUXAIK4CM · pith_short_16: ZBGAUXAIK4CM4YS6 · pith_short_8: ZBGAUXAI

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/ZBGAUXAIK4CM4YS6ZKPQSPR2MW \
  | 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: c84c0a5c085704ce625eca9f093e3a65bf4f24d86567d2da6a66860cc424dba8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48e36b3273ee3f116ef9274312548c34d14a17726a3097fdccf5d94b9c131158",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2010-09-08T12:10:08Z",
    "title_canon_sha256": "c189289a671b45f32bee1092094a09dad82abebf606065e99127280933f20c7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1511",
    "kind": "arxiv",
    "version": 2
  }
}