Pith Number

pith:YYG64RTI

pith:2000:YYG64RTI6GCBIGULSZ54ESQ7U5

not attested not anchored not stored refs pending

Classification of phase transitions of finite Bose-Einstein condensates in power law traps by Fisher zeros

Heinrich Stamerjohanns, Jens Harting, Oliver Muelken, Peter Borrmann

arxiv:cond-mat/0006293 v3 · 2000-06-20 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYG64RTI6GCBIGULSZ54ESQ7U5}

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	2026-07-04T16:18:36.784433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c60dee4668f184141a8b967bc24a1fa77848a396055ea2c37e967dcfb8eeba05

Aliases

arxiv: cond-mat/0006293 · arxiv_version: cond-mat/0006293v3 · doi: 10.48550/arxiv.cond-mat/0006293 · pith_short_12: YYG64RTI6GCB · pith_short_16: YYG64RTI6GCBIGUL · pith_short_8: YYG64RTI

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/YYG64RTI6GCBIGULSZ54ESQ7U5 \
  | 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: c60dee4668f184141a8b967bc24a1fa77848a396055ea2c37e967dcfb8eeba05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2485419911a1376d2a951c99e2b3c5637cb57b27be4fdff34279f7cc7a28d216",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2000-06-20T08:48:49Z",
    "title_canon_sha256": "028f9b189653c7d9fecfb1b6d8f651dec35c42fa9662d675853579417b4ac1cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0006293",
    "kind": "arxiv",
    "version": 3
  }
}