Pith Number

pith:T2FRT7N7

pith:2023:T2FRT7N7POKGFQDJ766LYCCHZC

not attested not anchored not stored refs pending

Parking functions, Fubini rankings, and Boolean intervals in the weak order of $\mathfrak{S}_n$

Jan Kretschmann, J. Carlos Mart\'inez Mori, Jennifer Elder, Pamela E. Harris

arxiv:2306.14734 v2 · 2023-06-26 · 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{T2FRT7N7POKGFQDJ766LYCCHZC}

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	2026-07-05T11:24:00.656437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e8b19fdbf7b9462c069ffbcbc0847c8a5e833caffb01bf789b8bb5148619605

Aliases

arxiv: 2306.14734 · arxiv_version: 2306.14734v2 · doi: 10.48550/arxiv.2306.14734 · pith_short_12: T2FRT7N7POKG · pith_short_16: T2FRT7N7POKGFQDJ · pith_short_8: T2FRT7N7

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/T2FRT7N7POKGFQDJ766LYCCHZC \
  | 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: 9e8b19fdbf7b9462c069ffbcbc0847c8a5e833caffb01bf789b8bb5148619605

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52de3dccd282d05d603449fea160b0231e0ca84979ef2bc2184095882ceff461",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-06-26T14:37:10Z",
    "title_canon_sha256": "2deeed970006b4d16d6d3237149010c1b92aeab3ed9deabe3d1533cb490aac98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.14734",
    "kind": "arxiv",
    "version": 2
  }
}