Pith Number

pith:MJYQXJLO

pith:2020:MJYQXJLOXI7HWIZ5LLZDKW274H

not attested not anchored not stored refs pending

Macroscopic loops in the loop O(n) model via the XOR trick

Alexander Glazman, Matan Harel, Nicholas Crawford, Ron Peled

arxiv:2001.11977 v2 · 2020-01-31 · math.PR · 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{MJYQXJLOXI7HWIZ5LLZDKW274H}

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

On loops in the complement to dimers

Receipt and verification

First computed	2026-07-05T08:31:37.608066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62710ba56eba3e7b233d5af2355b5fe1e6896ac892531df279247db7df58eff0

Aliases

arxiv: 2001.11977 · arxiv_version: 2001.11977v2 · doi: 10.48550/arxiv.2001.11977 · pith_short_12: MJYQXJLOXI7H · pith_short_16: MJYQXJLOXI7HWIZ5 · pith_short_8: MJYQXJLO

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/MJYQXJLOXI7HWIZ5LLZDKW274H \
  | 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: 62710ba56eba3e7b233d5af2355b5fe1e6896ac892531df279247db7df58eff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15aaeb87c33378d7475dfc380c019beb41633d0942018cf2ffa31c4314172f5c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-01-31T17:50:59Z",
    "title_canon_sha256": "f50a11b4075ce5e3be4230cabdeead331d415f682fd831b1ba0a8ff0dfcc2867"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.11977",
    "kind": "arxiv",
    "version": 2
  }
}