Pith Number

pith:IPLWLEYJ

pith:2011:IPLWLEYJZZXELNJKYWVSCW6VZH

not attested not anchored not stored refs pending

The entropy of dense non-commutative fermion gases

Frederik G. Scholtz, Johannes N. Kriel

arxiv:1112.1579 v1 · 2011-12-07 · math-ph · hep-th · math.MP · 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{IPLWLEYJZZXELNJKYWVSCW6VZH}

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	2026-05-18T01:59:15.715983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43d7659309ce6e45b52ac5ab215bd5c9c2dd957491f254409655220a9fce1e07

Aliases

arxiv: 1112.1579 · arxiv_version: 1112.1579v1 · doi: 10.48550/arxiv.1112.1579 · pith_short_12: IPLWLEYJZZXE · pith_short_16: IPLWLEYJZZXELNJK · pith_short_8: IPLWLEYJ

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/IPLWLEYJZZXELNJKYWVSCW6VZH \
  | 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: 43d7659309ce6e45b52ac5ab215bd5c9c2dd957491f254409655220a9fce1e07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6808476eff53d5a209ae44620c180c054f217bb1b9aa151bb7dd710c7b7f86aa",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-07T14:40:40Z",
    "title_canon_sha256": "7a60a1f4b284a4d20f489eb045c2e53c662ee1cadda4c80ce3aa647f8b2eff23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1579",
    "kind": "arxiv",
    "version": 1
  }
}