Pith Number

pith:NR6PJMFQ

pith:2025:NR6PJMFQXZRAISMIVOCACOJTFW

not attested not anchored not stored refs pending

Vogel's universality and Macdonald dimensions

Liudmila Bishler

arxiv:2507.11414 v2 · 2025-07-15 · hep-th · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NR6PJMFQXZRAISMIVOCACOJTFW}

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

2 papers in Pith

Non-commutative creation operators for symmetric polynomials

A note on universality in refined Chern-Simons theory

Receipt and verification

First computed	2026-07-05T12:00:50.877347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c7cf4b0b0be62044988ab840139332d87b144b7e940bbef2d8f8fcb56ec11b5

Aliases

arxiv: 2507.11414 · arxiv_version: 2507.11414v2 · doi: 10.48550/arxiv.2507.11414 · pith_short_12: NR6PJMFQXZRA · pith_short_16: NR6PJMFQXZRAISMI · pith_short_8: NR6PJMFQ

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/NR6PJMFQXZRAISMIVOCACOJTFW \
  | 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: 6c7cf4b0b0be62044988ab840139332d87b144b7e940bbef2d8f8fcb56ec11b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c5f1c9caafde4aa1be44a438de86d7fef88e8dcfce5598ab39652a046c31579",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-07-15T15:37:45Z",
    "title_canon_sha256": "214f6c3d2af619bd560bfb141d9da7c6bac60940386136e8839289f5f0886d62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11414",
    "kind": "arxiv",
    "version": 2
  }
}