Pith Number

pith:JYE2DZ6R

pith:2023:JYE2DZ6RB6NHJ5V4WL7UUWJRJ4

not attested not anchored not stored refs pending

A generalization of the dual immaculate quasisymmetric functions in partially commutative variables

Spencer Daugherty

arxiv:2309.08518 v2 · 2023-09-15 · 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{JYE2DZ6RB6NHJ5V4WL7UUWJRJ4}

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	2026-07-05T08:26:13.871890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e09a1e7d10f9a74f6bcb2ff4a59314f2fd7910e9e7b5a80f497ccbc22a606bf

Aliases

arxiv: 2309.08518 · arxiv_version: 2309.08518v2 · doi: 10.48550/arxiv.2309.08518 · pith_short_12: JYE2DZ6RB6NH · pith_short_16: JYE2DZ6RB6NHJ5V4 · pith_short_8: JYE2DZ6R

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/JYE2DZ6RB6NHJ5V4WL7UUWJRJ4 \
  | 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: 4e09a1e7d10f9a74f6bcb2ff4a59314f2fd7910e9e7b5a80f497ccbc22a606bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e15c526ec6718dbb88980ad17320c2b968a1311a2863d28aabe7274d134faa04",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-09-15T16:26:47Z",
    "title_canon_sha256": "6f6b14b7f75f9cb3376387f78491b113326a87cee079a4ac698c951755e73afe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.08518",
    "kind": "arxiv",
    "version": 2
  }
}