Pith Number

pith:R6SUIOE2

pith:2018:R6SUIOE2K3YT4HRJPJZP7JA56X

not attested not anchored not stored refs pending

Quantum spins and random loops on the complete graph

Daniel Ueltschi, Jakob E. Bj\"ornberg, J\"urg Fr\"ohlich

arxiv:1811.12834 v2 · 2018-11-30 · math-ph · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6SUIOE2K3YT4HRJPJZP7JA56X}

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

Critical Parameters for Loop and Bernoulli Percolation

Receipt and verification

First computed	2026-07-05T02:52:55.522588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fa544389a56f13e1e297a72ffa41df5f0761a6c76a30f374310fe7eb01d4918

Aliases

arxiv: 1811.12834 · arxiv_version: 1811.12834v2 · doi: 10.48550/arxiv.1811.12834 · pith_short_12: R6SUIOE2K3YT · pith_short_16: R6SUIOE2K3YT4HRJ · pith_short_8: R6SUIOE2

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/R6SUIOE2K3YT4HRJPJZP7JA56X \
  | 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: 8fa544389a56f13e1e297a72ffa41df5f0761a6c76a30f374310fe7eb01d4918

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5971edf9122c698bb6609564e50078dd20bad4f552338a87384e0486b99f8b37",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-11-30T15:03:22Z",
    "title_canon_sha256": "bb2edf0588a456595c2dcf1ce97aaae93cde40340bd189da71e6c78856c141f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.12834",
    "kind": "arxiv",
    "version": 2
  }
}