Pith Number

pith:M4ZJDTNU

pith:2022:M4ZJDTNUL2P5IB2CFJENPGNWUZ

not attested not anchored not stored refs pending

Infinite cycles in the interchange process in five dimensions

Allan Sly, Dor Elboim

arxiv:2211.17023 v3 · 2022-11-30 · 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{M4ZJDTNUL2P5IB2CFJENPGNWUZ}

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

Macroscopic loops in the random loop model on sparse random graphs

Receipt and verification

First computed	2026-07-05T07:40:40.004937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

673291cdb45e9fd407422a48d799b6a677cab74c7e771b782f2755b25d041b69

Aliases

arxiv: 2211.17023 · arxiv_version: 2211.17023v3 · doi: 10.48550/arxiv.2211.17023 · pith_short_12: M4ZJDTNUL2P5 · pith_short_16: M4ZJDTNUL2P5IB2C · pith_short_8: M4ZJDTNU

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/M4ZJDTNUL2P5IB2CFJENPGNWUZ \
  | 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: 673291cdb45e9fd407422a48d799b6a677cab74c7e771b782f2755b25d041b69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "935b4ac27b04f5fbda5f54a720b5915ae81fd09a7c7d579665078266741ab079",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-11-30T14:15:20Z",
    "title_canon_sha256": "ec72e33e99443eb91782eecbd26b4bf4d400a497d9b7d23f6d1076e00d3daab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.17023",
    "kind": "arxiv",
    "version": 3
  }
}