Pith Number

pith:3QI7N5P7

pith:2024:3QI7N5P7JWGQB3AXRSD3FQK6ZX

not attested not anchored not stored refs pending

Positive formula for the product of conjugacy classes on the unitary group

Pierre Tarrago, Quentin Fran\c{c}ois

arxiv:2405.06723 v2 · 2024-05-10 · math.RT · math-ph · math.CO · math.MP · math.PR · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QI7N5P7JWGQB3AXRSD3FQK6ZX}

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

1 paper in Pith

Enumeration of crossings in two-step puzzles

Receipt and verification

First computed	2026-07-05T08:40:17.489176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc11f6f5ff4d8d00ec178c87b2c15ecddbeadfd8e7573f515b3485d1a3d26be7

Aliases

arxiv: 2405.06723 · arxiv_version: 2405.06723v2 · doi: 10.48550/arxiv.2405.06723 · pith_short_12: 3QI7N5P7JWGQ · pith_short_16: 3QI7N5P7JWGQB3AX · pith_short_8: 3QI7N5P7

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/3QI7N5P7JWGQB3AXRSD3FQK6ZX \
  | 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: dc11f6f5ff4d8d00ec178c87b2c15ecddbeadfd8e7573f515b3485d1a3d26be7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cd84bf662d3356bd3f28c9eceda99bea5c11f3794b8727d9e79cf2e7582687c",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP",
      "math.PR",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-05-10T09:25:17Z",
    "title_canon_sha256": "14ad4ffc35fa8b03456b5202f19b6018a4ba371e6a0189e57ec653e03d81f65d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.06723",
    "kind": "arxiv",
    "version": 2
  }
}