Pith Number

pith:FMHOGJCJ

pith:2026:FMHOGJCJTTWM7PIZZGT4TBDKT6

not attested not anchored not stored refs pending

On the cycle structure of the symmetric tensor power of permutations

Diego Villamizar, Sebastian Caballero

arxiv:2605.27214 v1 · 2026-05-26 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FMHOGJCJTTWM7PIZZGT4TBDKT6}

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	2026-05-27T02:05:48.408397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b0ee324499ceccfbd19c9a7c9846a9f8b1dfd1a9606634c2bd979b793b53e8e

Aliases

arxiv: 2605.27214 · arxiv_version: 2605.27214v1 · doi: 10.48550/arxiv.2605.27214 · pith_short_12: FMHOGJCJTTWM · pith_short_16: FMHOGJCJTTWM7PIZ · pith_short_8: FMHOGJCJ

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/FMHOGJCJTTWM7PIZZGT4TBDKT6 \
  | 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: 2b0ee324499ceccfbd19c9a7c9846a9f8b1dfd1a9606634c2bd979b793b53e8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4c9d7f02747da59b756d0f6cca3d08ddd349d889a1566c7e5d8c5f2185d53e0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-26T16:03:42Z",
    "title_canon_sha256": "51aceeacebd88440df31be11d0df05a734996285ed139f792ade753e930c0ff8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27214",
    "kind": "arxiv",
    "version": 1
  }
}