Pith Number

pith:ZYEXQ2BW

pith:2012:ZYEXQ2BWRWY2NL2WJUPOBO4IIG

not attested not anchored not stored refs pending

Finite temperature analytical results for a harmonically confined gas obeying exclusion statistics in $d$-dimensions

Brandon P. van Zyl, Zachary MacDonald

arxiv:1211.0926 v1 · 2012-11-05 · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYEXQ2BWRWY2NL2WJUPOBO4IIG}

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	2026-05-18T01:53:25.734883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce097868368db1a6af564d1ee0bb8841864ff545f611c15bbe5789ba3ff1b313

Aliases

arxiv: 1211.0926 · arxiv_version: 1211.0926v1 · doi: 10.48550/arxiv.1211.0926 · pith_short_12: ZYEXQ2BWRWY2 · pith_short_16: ZYEXQ2BWRWY2NL2W · pith_short_8: ZYEXQ2BW

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/ZYEXQ2BWRWY2NL2WJUPOBO4IIG \
  | 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: ce097868368db1a6af564d1ee0bb8841864ff545f611c15bbe5789ba3ff1b313

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8115579f430d7564932f9e6ade368e8b294a689d9618a965e97cc59c8c9ca7f8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-11-05T17:01:57Z",
    "title_canon_sha256": "e9d06d5461afc3ba82e122cb2917d903f6efcb189d1bfa479ea861ecf3c4e233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0926",
    "kind": "arxiv",
    "version": 1
  }
}