Pith Number

pith:DNAXPA2W

pith:2012:DNAXPA2W6VJZSPEJ2NUE5Q7N5O

not attested not anchored not stored refs pending

Sheaves on nilpotent cones, Fourier transform, and a geometric Ringel duality

Carl Mautner, Pramod N. Achar

arxiv:1207.7044 v1 · 2012-07-30 · 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{DNAXPA2W6VJZSPEJ2NUE5Q7N5O}

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	2026-05-18T03:49:47.901286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b41778356f553993c89d3684ec3edebae08c369cfa548a35661981fb0577036

Aliases

arxiv: 1207.7044 · arxiv_version: 1207.7044v1 · doi: 10.48550/arxiv.1207.7044 · pith_short_12: DNAXPA2W6VJZ · pith_short_16: DNAXPA2W6VJZSPEJ · pith_short_8: DNAXPA2W

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/DNAXPA2W6VJZSPEJ2NUE5Q7N5O \
  | 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: 1b41778356f553993c89d3684ec3edebae08c369cfa548a35661981fb0577036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62e4f9a72e7b70b8af11e8cdb91420377a1ae78a643d0f4fd60f8289f3658c8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-07-30T19:19:08Z",
    "title_canon_sha256": "e1c1782028acf0e05c2fd33cd0fb9a18a0626322e48fb6ff361c3cfde8600872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7044",
    "kind": "arxiv",
    "version": 1
  }
}