Pith Number

pith:F5QPCNHZ

pith:2010:F5QPCNHZ42OEVRYRAPJJ7RBXD3

not attested not anchored not stored refs pending

Differential operators on quantized flag manifolds at roots of unity

Toshiyuki Tanisaki

arxiv:1002.0113 v4 · 2010-01-31 · math.QA · 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{F5QPCNHZ42OEVRYRAPJJ7RBXD3}

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	2026-05-18T03:58:38.455362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f60f134f9e69c4ac71103d29fc4371ec21e082ab065e2e20a192164a4a59008

Aliases

arxiv: 1002.0113 · arxiv_version: 1002.0113v4 · doi: 10.48550/arxiv.1002.0113 · pith_short_12: F5QPCNHZ42OE · pith_short_16: F5QPCNHZ42OEVRYR · pith_short_8: F5QPCNHZ

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/F5QPCNHZ42OEVRYRAPJJ7RBXD3 \
  | 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: 2f60f134f9e69c4ac71103d29fc4371ec21e082ab065e2e20a192164a4a59008

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b204b0891c7d49f4986f6d20631a836f25d821c23991a1e7fe5a59ae5c968366",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-01-31T07:53:39Z",
    "title_canon_sha256": "2af7bd67dd989b4d6dbf60a332dcc5935e09809bbe158cb8687170cc7550f021"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0113",
    "kind": "arxiv",
    "version": 4
  }
}