Pith Number

pith:PVHR6THG

pith:2012:PVHR6THG6E627UVQAIJ6URQQYO

not attested not anchored not stored refs pending

Fourier Transforms of Nilpotent, Coadjoint Orbits for GL(n,R)

Benjamin Harris

arxiv:1209.4122 v1 · 2012-09-18 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVHR6THG6E627UVQAIJ6URQQYO}

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	2026-05-18T03:33:47.970373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d4f1f4ce6f13dafd2b00213ea4610c381824a1b9ba21fb8993278def2b9a704

Aliases

arxiv: 1209.4122 · arxiv_version: 1209.4122v1 · doi: 10.48550/arxiv.1209.4122 · pith_short_12: PVHR6THG6E62 · pith_short_16: PVHR6THG6E627UVQ · pith_short_8: PVHR6THG

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/PVHR6THG6E627UVQAIJ6URQQYO \
  | 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: 7d4f1f4ce6f13dafd2b00213ea4610c381824a1b9ba21fb8993278def2b9a704

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1ce663f61e5d2168d8992cbf619a3aa1b69ef4c1f95b3749cb147e3ff4973c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-18T23:53:56Z",
    "title_canon_sha256": "5a4eae181f58a732e1164ed1321ccd5e6260b04ccb35bb768d2cbcafdb455ef2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4122",
    "kind": "arxiv",
    "version": 1
  }
}