Pith Number

pith:QJROR62M

pith:2004:QJROR62MZHIKFLL5HXIMPRJ3K3

not attested not anchored not stored refs pending

The Canonical Perfect Bose Gas in Casimir Boxes

Joseph V. Pule, Valentin A.Zagrebnov

arxiv:math-ph/0405043 v1 · 2004-05-14 · 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{QJROR62MZHIKFLL5HXIMPRJ3K3}

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	2026-05-18T01:38:33.456093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8262e8fb4cc9d0a2ad7d3dd0c7c53b56fca8bed4980202a692ccd693edb3280b

Aliases

arxiv: math-ph/0405043 · arxiv_version: math-ph/0405043v1 · doi: 10.48550/arxiv.math-ph/0405043 · pith_short_12: QJROR62MZHIK · pith_short_16: QJROR62MZHIKFLL5 · pith_short_8: QJROR62M

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/QJROR62MZHIKFLL5HXIMPRJ3K3 \
  | 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: 8262e8fb4cc9d0a2ad7d3dd0c7c53b56fca8bed4980202a692ccd693edb3280b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aee4f659c8fc2d9a188c056bd57a72ba606904b9d0034451ca6c63c4652fed23",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-05-14T18:10:01Z",
    "title_canon_sha256": "5b45503339fa60e500b158b76a49d8de030cd31d14182c5f3bd04d0cb4d1dad0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0405043",
    "kind": "arxiv",
    "version": 1
  }
}