Pith Number

pith:YOEHMPPR

pith:2026:YOEHMPPRVX3HSO5FMLLXTE35HE

not attested not anchored not stored refs pending

Mixing on $k$ Columns of the Transvection Walk

Aaron Smith, Natesh Pillai

arxiv:2605.27212 v1 · 2026-05-26 · 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{YOEHMPPRVX3HSO5FMLLXTE35HE}

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.

Receipt and verification

First computed	2026-05-27T02:05:48.309771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c388763df1adf6793ba562d779937d391ac69aa288b82ae42947b7d9204001a5

Aliases

arxiv: 2605.27212 · arxiv_version: 2605.27212v1 · doi: 10.48550/arxiv.2605.27212 · pith_short_12: YOEHMPPRVX3H · pith_short_16: YOEHMPPRVX3HSO5F · pith_short_8: YOEHMPPR

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/YOEHMPPRVX3HSO5FMLLXTE35HE \
  | 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: c388763df1adf6793ba562d779937d391ac69aa288b82ae42947b7d9204001a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0299ae35c7ee4dcf458019c2b5982d5b2e0d4c2b8fa170594fa9fee03d0b886",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-26T16:03:23Z",
    "title_canon_sha256": "2b5c4fadda15dcbcad0ae52b152507bf5d1e60a3fa5c7777a3dd572e8ce64f3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27212",
    "kind": "arxiv",
    "version": 1
  }
}