Pith Number

pith:S44DXZHH

pith:2011:S44DXZHHWPIMNFUKU4LWSWJA6S

not attested not anchored not stored refs pending

Higher Trivariate Diagonal Harmonics via generalized Tamari Posets

F. Bergeron, L.-F. Preville-Ratelle

arxiv:1105.3738 v6 · 2011-05-18 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S44DXZHHWPIMNFUKU4LWSWJA6S}

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	2026-05-18T02:21:52.499096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97383be4e7b3d0c6968aa717695920f4bdc7247e8207cb4b11ac976b23e6428a

Aliases

arxiv: 1105.3738 · arxiv_version: 1105.3738v6 · doi: 10.48550/arxiv.1105.3738 · pith_short_12: S44DXZHHWPIM · pith_short_16: S44DXZHHWPIMNFUK · pith_short_8: S44DXZHH

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/S44DXZHHWPIMNFUKU4LWSWJA6S \
  | 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: 97383be4e7b3d0c6968aa717695920f4bdc7247e8207cb4b11ac976b23e6428a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e77a65c43a6041ddd43267a1f4eefcc98844010afd45b2f481a8f64a88b2779",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-18T20:06:06Z",
    "title_canon_sha256": "d3dbd19b349ac98a731abc557bb34f7e002832cf6f1ab82ebf3f5e0300b2ba2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3738",
    "kind": "arxiv",
    "version": 6
  }
}