Pith Number

pith:VCGDHZLJ

pith:2024:VCGDHZLJL4T7ZX4344NRHSRWQ2

not attested not anchored not stored refs pending

Between weak and Bruhat: the middle order on permutations

Bridget Eileen Tenner, Luca Ferrari, Mathilde Bouvel

arxiv:2405.08943 v2 · 2024-05-14 · 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{VCGDHZLJL4T7ZX4344NRHSRWQ2}

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

Intervals in a family of Fibonacci lattices

Receipt and verification

First computed	2026-07-05T09:00:37.262201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a88c33e5695f27fcdf9be71b13ca3686a28efe7cf22cbc09042514b33ceabb83

Aliases

arxiv: 2405.08943 · arxiv_version: 2405.08943v2 · doi: 10.48550/arxiv.2405.08943 · pith_short_12: VCGDHZLJL4T7 · pith_short_16: VCGDHZLJL4T7ZX43 · pith_short_8: VCGDHZLJ

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/VCGDHZLJL4T7ZX4344NRHSRWQ2 \
  | 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: a88c33e5695f27fcdf9be71b13ca3686a28efe7cf22cbc09042514b33ceabb83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f242a91ad1012faafd7e218b7bb6f51f323d0b41e0159bcb2d795481b22a9c7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-05-14T20:15:42Z",
    "title_canon_sha256": "8e9295618558e4f6dcd4fba58a3b72a0cf007983eae70d68729a4263fc98a3b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.08943",
    "kind": "arxiv",
    "version": 2
  }
}