Pith Number

pith:FF2X7TUM

pith:2012:FF2X7TUMGY4AYDKEOVNYMCSPB4

not attested not anchored not stored refs pending

Richardson Varieties Have Kawamata Log Terminal Singularities

Karl Schwede, Shrawan Kumar

arxiv:1203.6126 v2 · 2012-03-28 · 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{FF2X7TUMGY4AYDKEOVNYMCSPB4}

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	2026-05-18T02:57:45.120867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29757fce8c36380c0d44755b860a4f0f08d334115d9efc3ec71a66dce245ace1

Aliases

arxiv: 1203.6126 · arxiv_version: 1203.6126v2 · doi: 10.48550/arxiv.1203.6126 · pith_short_12: FF2X7TUMGY4A · pith_short_16: FF2X7TUMGY4AYDKE · pith_short_8: FF2X7TUM

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/FF2X7TUMGY4AYDKEOVNYMCSPB4 \
  | 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: 29757fce8c36380c0d44755b860a4f0f08d334115d9efc3ec71a66dce245ace1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21700f1340b6fd9d76d993f6721cdd6343509ed24c720cf49f6a7ca620f717e2",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-28T01:29:13Z",
    "title_canon_sha256": "7d0560fd3a9e6a2a261d55f7faf2af5bbb0c20bfaa7586228a416541d1947cc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6126",
    "kind": "arxiv",
    "version": 2
  }
}