Pith Number

pith:E5R7U3DZ

pith:2025:E5R7U3DZASSPYWLDL37E4I2WNA

not attested not anchored not stored refs pending

Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models

Alexi Morin-Duchesne, Andreas Kl\"umper, Paul A. Pearce

arxiv:2501.19288 v1 · 2025-01-31 · math-ph · cond-mat.stat-mech · hep-th · 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{E5R7U3DZASSPYWLDL37E4I2WNA}

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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	2026-07-05T10:07:59.004946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2763fa6c7904a4fc59635efe4e2356683bb9648b4247ca26aabd5fbbff3c145b

Aliases

arxiv: 2501.19288 · arxiv_version: 2501.19288v1 · doi: 10.48550/arxiv.2501.19288 · pith_short_12: E5R7U3DZASSP · pith_short_16: E5R7U3DZASSPYWLD · pith_short_8: E5R7U3DZ

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/E5R7U3DZASSPYWLDL37E4I2WNA \
  | 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: 2763fa6c7904a4fc59635efe4e2356683bb9648b4247ca26aabd5fbbff3c145b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a19b123f710ab1d007915c67f5753546715b677b494c73a1f535be0cd8c89dcc",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-01-31T16:48:39Z",
    "title_canon_sha256": "9668f8930f347fc245aeb7a0a564df442dc02d8df811ee6bebc1dbc2cd4f1ffc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.19288",
    "kind": "arxiv",
    "version": 1
  }
}