Pith Number

pith:QXUC2U3P

pith:2012:QXUC2U3PUJJCCA2ITARWWAKMXY

not attested not anchored not stored refs pending

Geometric and homological properties of affine Deligne-Lusztig varieties

Xuhua He

arxiv:1201.4901 v2 · 2012-01-24 · 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{QXUC2U3PUJJCCA2ITARWWAKMXY}

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	2026-05-18T03:13:46.532887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85e82d536fa25221034898236b014cbe3dcc2162dfb8d8608a9c9c1cef449375

Aliases

arxiv: 1201.4901 · arxiv_version: 1201.4901v2 · doi: 10.48550/arxiv.1201.4901 · pith_short_12: QXUC2U3PUJJC · pith_short_16: QXUC2U3PUJJCCA2I · pith_short_8: QXUC2U3P

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/QXUC2U3PUJJCCA2ITARWWAKMXY \
  | 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: 85e82d536fa25221034898236b014cbe3dcc2162dfb8d8608a9c9c1cef449375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c3b2f374dc793a458fde99df58dff02d36301fca56297ec96c4d51801d66b78",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-24T00:57:02Z",
    "title_canon_sha256": "c0b2069bd96a560d043d0daf282bf89fbd0f2606a8c6d97704695b482a69cc94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4901",
    "kind": "arxiv",
    "version": 2
  }
}