Pith Number

pith:FZLIGN7H

pith:2014:FZLIGN7HLJX43UNX4AWZVMLB5O

not attested not anchored not stored refs pending

Statistical problem of ideal gas in general 2-dimensional regions

Ci Song, Pardon Mwansa, Ping Zhang, Wen-Du Li

arxiv:1502.05288 v1 · 2014-12-19 · physics.gen-ph · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZLIGN7HLJX43UNX4AWZVMLB5O}

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	2026-05-18T01:41:00.895345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e568337e75a6fcdd1b7e02d9ab161eb85a4cf73155e4c40963d3fcafd63071d

Aliases

arxiv: 1502.05288 · arxiv_version: 1502.05288v1 · doi: 10.48550/arxiv.1502.05288 · pith_short_12: FZLIGN7HLJX4 · pith_short_16: FZLIGN7HLJX43UNX · pith_short_8: FZLIGN7H

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/FZLIGN7HLJX43UNX4AWZVMLB5O \
  | 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: 2e568337e75a6fcdd1b7e02d9ab161eb85a4cf73155e4c40963d3fcafd63071d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9bcc21d17c771fd617e932435c9f6b24b93d93068cd02838f7800d9939a17ea",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2014-12-19T22:43:56Z",
    "title_canon_sha256": "dad839c0d0e62ebbf135e195debce7f77850e6ed9a9965824e387d58300ac667"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05288",
    "kind": "arxiv",
    "version": 1
  }
}