Pith Number

pith:Z5ILWRZB

pith:2011:Z5ILWRZBYD33IOB3HK2KBUFQUI

not attested not anchored not stored refs pending

Signed mahonians on some trees and parabolic quotients

Fabrizio Caselli

arxiv:1103.4807 v2 · 2011-03-24 · 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{Z5ILWRZBYD33IOB3HK2KBUFQUI}

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	2026-05-18T03:57:37.307243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf50bb4721c0f7b4383b3ab4a0d0b0a204c4051118e7bd899c7352d84526f4c6

Aliases

arxiv: 1103.4807 · arxiv_version: 1103.4807v2 · doi: 10.48550/arxiv.1103.4807 · pith_short_12: Z5ILWRZBYD33 · pith_short_16: Z5ILWRZBYD33IOB3 · pith_short_8: Z5ILWRZB

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/Z5ILWRZBYD33IOB3HK2KBUFQUI \
  | 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: cf50bb4721c0f7b4383b3ab4a0d0b0a204c4051118e7bd899c7352d84526f4c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3b37ecafce8c7e27cf439ecd4c0f149c53ab91486e388c891fa65a42556f12e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-24T16:51:28Z",
    "title_canon_sha256": "ee5a77de78010801b08f46d71247ca109a82f62af140ae2a6184008e6049815d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4807",
    "kind": "arxiv",
    "version": 2
  }
}