Pith Number

pith:FJYX2JKB

pith:2015:FJYX2JKBEDGUCTRMV3A7VYLTNG

not attested not anchored not stored refs pending

Cluster and virial expansions for the multi-species Tonks gas

Sabine Jansen

arxiv:1503.02338 v2 · 2015-03-08 · math-ph · math.CO · 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{FJYX2JKBEDGUCTRMV3A7VYLTNG}

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	2026-05-18T01:32:08.142253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a717d254120cd414e2caec1fae17369a2a39a4dc3f4a7316653e7bf837501d9

Aliases

arxiv: 1503.02338 · arxiv_version: 1503.02338v2 · doi: 10.48550/arxiv.1503.02338 · pith_short_12: FJYX2JKBEDGU · pith_short_16: FJYX2JKBEDGUCTRM · pith_short_8: FJYX2JKB

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/FJYX2JKBEDGUCTRMV3A7VYLTNG \
  | 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: 2a717d254120cd414e2caec1fae17369a2a39a4dc3f4a7316653e7bf837501d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ededbbde46fcf14f95c4ba7748d1695377e9183cfdbf805e89b1956516759af",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-03-08T22:53:41Z",
    "title_canon_sha256": "5752ef7a450e6efe50e369adfb068a31b6d6274997c42ff9d8aa520dfec7548a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02338",
    "kind": "arxiv",
    "version": 2
  }
}