Pith Number

pith:Y5EB4I7E

pith:2024:Y5EB4I7ELA4CKGDGJCWZ4OVGJD

not attested not anchored not stored refs pending

Fertility Numbers of Consecutive $S_3$ Pattern-Avoiding Stack-Sorting maps

Jurgis Kemeklis

arxiv:2408.05378 v2 · 2024-08-09 · 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{Y5EB4I7ELA4CKGDGJCWZ4OVGJD}

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

Computational Approach to the $SC_{231}$ Consecutive-Pattern-Avoiding Stack Sort

Receipt and verification

First computed	2026-07-05T09:07:02.060101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7481e23e4583825186648ad9e3aa648dc9a8ddaae028638428b031787e9dc32

Aliases

arxiv: 2408.05378 · arxiv_version: 2408.05378v2 · doi: 10.48550/arxiv.2408.05378 · pith_short_12: Y5EB4I7ELA4C · pith_short_16: Y5EB4I7ELA4CKGDG · pith_short_8: Y5EB4I7E

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/Y5EB4I7ELA4CKGDGJCWZ4OVGJD \
  | 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: c7481e23e4583825186648ad9e3aa648dc9a8ddaae028638428b031787e9dc32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4512e0c6e9b02d2e2d6fec7305051a7b43e161f22c98d75422c4222fdb6923e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-08-09T23:14:30Z",
    "title_canon_sha256": "1c77e6847ec9d02f08333572305c854e0e94e6d72ebc2d2b42d416279e211221"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.05378",
    "kind": "arxiv",
    "version": 2
  }
}