Pith Number

pith:2XD43VWL

pith:2006:2XD43VWLBKH23X6WQSUKDF4OJ7

not attested not anchored not stored refs pending

Diamagnetic expansions for perfect quantum gases

Delphine Louis, Horia D. Cornean, Philippe Briet

arxiv:math-ph/0605013 v1 · 2006-05-04 · 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{2XD43VWLBKH23X6WQSUKDF4OJ7}

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	2026-05-18T01:38:32.883593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5c7cdd6cb0a8faddfd684a8a1978e4ff2df699f84ae677c76ed720dee710232

Aliases

arxiv: math-ph/0605013 · arxiv_version: math-ph/0605013v1 · doi: 10.48550/arxiv.math-ph/0605013 · pith_short_12: 2XD43VWLBKH2 · pith_short_16: 2XD43VWLBKH23X6W · pith_short_8: 2XD43VWL

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/2XD43VWLBKH23X6WQSUKDF4OJ7 \
  | 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: d5c7cdd6cb0a8faddfd684a8a1978e4ff2df699f84ae677c76ed720dee710232

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "026005cca1aaaa5de79c4990a10a6b24adc69ba3547dbbd2e8829eefde4f6fed",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-05-04T09:33:09Z",
    "title_canon_sha256": "d15fe0a6f69da5e6a827aef7f748ba507f40fa6382976a09d9ccb1edb4bf4ab1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0605013",
    "kind": "arxiv",
    "version": 1
  }
}