Pith Number

pith:3KJCY7PD

pith:2023:3KJCY7PDVBYPNT2HJTCM3AQ2AY

not attested not anchored not stored refs pending

Directed Spatial Permutations on Asymmetric Tori

Alan Hammond, Tyler Helmuth

arxiv:2306.03064 v3 · 2023-06-05 · 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{3KJCY7PDVBYPNT2HJTCM3AQ2AY}

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

High-dimensional permutons: theory and applications

Receipt and verification

First computed	2026-07-05T08:32:29.924539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da922c7de3a870f6cf474cc4cd821a0639556278b0545edd56515e13a6682519

Aliases

arxiv: 2306.03064 · arxiv_version: 2306.03064v3 · doi: 10.48550/arxiv.2306.03064 · pith_short_12: 3KJCY7PDVBYP · pith_short_16: 3KJCY7PDVBYPNT2H · pith_short_8: 3KJCY7PD

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/3KJCY7PDVBYPNT2HJTCM3AQ2AY \
  | 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: da922c7de3a870f6cf474cc4cd821a0639556278b0545edd56515e13a6682519

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c771aa76b926e13b166e362175bcaa64a593fcfe8470d6ba44e321e79f765905",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-06-05T17:39:37Z",
    "title_canon_sha256": "a21f62dc01aef9c6ba0eb4703f32ed50aae2a1e5ac0846d1a20951e9371e821c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.03064",
    "kind": "arxiv",
    "version": 3
  }
}