Pith. sign in
Pith Number

pith:FSK5YYO5

pith:2025:FSK5YYO5I2LV34MJUSQ2KIFM67
not attested not anchored not stored refs pending

Exact critical exponents of the Motzkin and Fredkin Chains

Olai B. Mykland, Zhao Zhang

arxiv:2507.14656 v4 · 2025-07-19 · cond-mat.str-el · cond-mat.stat-mech · hep-th · math-ph · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FSK5YYO5I2LV34MJUSQ2KIFM67}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-07T02:17:08.757961Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2c95dc61dd46975df189a4a1a520acf7e087d501f4bdf5116de90890bddc60f9

Aliases

arxiv: 2507.14656 · arxiv_version: 2507.14656v4 · doi: 10.48550/arxiv.2507.14656 · pith_short_12: FSK5YYO5I2LV · pith_short_16: FSK5YYO5I2LV34MJ · pith_short_8: FSK5YYO5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FSK5YYO5I2LV34MJUSQ2KIFM67 \
  | 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: 2c95dc61dd46975df189a4a1a520acf7e087d501f4bdf5116de90890bddc60f9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "135b97d322279936270f2faa5b60674abf5f4f52a30a574fab3a407a7730c4e9",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2025-07-19T15:06:14Z",
    "title_canon_sha256": "5188ce8dee8f6c0781cf54507eced2b4fc73598be8c1d85d6a727b7bc0263e3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.14656",
    "kind": "arxiv",
    "version": 4
  }
}