Pith Number

pith:PLKAWJMH

pith:2019:PLKAWJMHSON2Y6MSYNUUEFCQ7W

not attested not anchored not stored refs pending

Closed form fermionic expressions for the Macdonald index

Omar Foda, Rui-Dong Zhu

arxiv:1912.01896 v4 · 2019-12-04 · hep-th · cond-mat.stat-mech · 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{PLKAWJMHSON2Y6MSYNUUEFCQ7W}

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	2026-07-05T01:13:56.486850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ad40b2587939bac7992c369421450fd8ca6438103f825bea17cb405e526f411

Aliases

arxiv: 1912.01896 · arxiv_version: 1912.01896v4 · doi: 10.48550/arxiv.1912.01896 · pith_short_12: PLKAWJMHSON2 · pith_short_16: PLKAWJMHSON2Y6MS · pith_short_8: PLKAWJMH

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/PLKAWJMHSON2Y6MSYNUUEFCQ7W \
  | 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: 7ad40b2587939bac7992c369421450fd8ca6438103f825bea17cb405e526f411

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff611e0412cd978797dde684a2a2ef9cf2851a9ada2ff2ee22799926a3d6c7fd",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-12-04T11:12:37Z",
    "title_canon_sha256": "186803caec01775a93594a322044bcd2762420644ec7cd5954b1c564619d8310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.01896",
    "kind": "arxiv",
    "version": 4
  }
}