Pith Number

pith:5HCUOMXU

pith:2017:5HCUOMXUCRNBMZYHFWMVHWLFAL

not attested not anchored not stored refs pending

Ringel duality for perverse sheaves on hypertoric varieties

Carl Mautner, Tom Braden

arxiv:1709.03004 v1 · 2017-09-09 · math.AG · 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{5HCUOMXUCRNBMZYHFWMVHWLFAL}

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	2026-05-18T00:35:39.727565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9c54732f4145a1667072d9953d96502da8baf5bd282694b673a92cc7288ed8e

Aliases

arxiv: 1709.03004 · arxiv_version: 1709.03004v1 · doi: 10.48550/arxiv.1709.03004 · pith_short_12: 5HCUOMXUCRNB · pith_short_16: 5HCUOMXUCRNBMZYH · pith_short_8: 5HCUOMXU

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/5HCUOMXUCRNBMZYHFWMVHWLFAL \
  | 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: e9c54732f4145a1667072d9953d96502da8baf5bd282694b673a92cc7288ed8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4794f03938b8ac71cf44cc299a4310d48c37fb9aec8750a7943d5c296b321e9",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-09-09T20:48:26Z",
    "title_canon_sha256": "d280858fd3330e2ce92b22c6509ab130f92e89b72084d2146405896c74f42470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03004",
    "kind": "arxiv",
    "version": 1
  }
}