Pith Number

pith:HTJG24QK

pith:2016:HTJG24QKMB56HJK6SHTV5WGXVL

not attested not anchored not stored refs pending

Ordered set partitions, generalized coinvariant algebras, and the Delta Conjecture

Brendon Rhoades, James Haglund, Mark Shimozono

arxiv:1609.07575 v4 · 2016-09-24 · 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{HTJG24QKMB56HJK6SHTV5WGXVL}

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	2026-05-17T23:49:34.015018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cd26d720a607be3a55e91e75ed8d7aafb1712bdceeee6c0275e95711f123398

Aliases

arxiv: 1609.07575 · arxiv_version: 1609.07575v4 · doi: 10.48550/arxiv.1609.07575 · pith_short_12: HTJG24QKMB56 · pith_short_16: HTJG24QKMB56HJK6 · pith_short_8: HTJG24QK

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/HTJG24QKMB56HJK6SHTV5WGXVL \
  | 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: 3cd26d720a607be3a55e91e75ed8d7aafb1712bdceeee6c0275e95711f123398

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7787ada2581f9bc0d13d695441c10aea5631268c15b2b3d3719951d6bed6e933",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-24T06:03:43Z",
    "title_canon_sha256": "9437033bc820752455f4684bd816db9d500ccc230a9e3ec8e641aa3e910e5b46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07575",
    "kind": "arxiv",
    "version": 4
  }
}