Pith Number

pith:5FDI3OAR

pith:2026:5FDI3OAR2NIBJDR4GX2S4J2FYQ

not attested not anchored not stored refs pending

Cyclic Sieving for Strong Dichotomy Enumeration

Octavio A. Agust\'in-Aquino

arxiv:2605.21658 v1 · 2026-05-20 · 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{5FDI3OAR2NIBJDR4GX2S4J2FYQ}

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	2026-05-22T01:03:27.084162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9468db811d350148e3c35f52e2745c41f44c54d1981d9940eaafdc087968e0d

Aliases

arxiv: 2605.21658 · arxiv_version: 2605.21658v1 · doi: 10.48550/arxiv.2605.21658 · pith_short_12: 5FDI3OAR2NIB · pith_short_16: 5FDI3OAR2NIBJDR4 · pith_short_8: 5FDI3OAR

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/5FDI3OAR2NIBJDR4GX2S4J2FYQ \
  | 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: e9468db811d350148e3c35f52e2745c41f44c54d1981d9940eaafdc087968e0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcbb501cabe88e3321a8b6a2b971dc923ddd971a35618ad2e37adbaa295cea8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-20T19:11:56Z",
    "title_canon_sha256": "6f82456288889be0878c196e38e10f51a170bc53358b2155a691d3701e08b97d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21658",
    "kind": "arxiv",
    "version": 1
  }
}