Pith Number

pith:RXYXE62A

pith:2013:RXYXE62ADTKIMLTLWUSGZU4W3R

not attested not anchored not stored refs pending

Spherical roots of spherical varieties

Friedrich Knop

arxiv:1303.2466 v3 · 2013-03-11 · math.RT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RXYXE62ADTKIMLTLWUSGZU4W3R}

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	2026-05-18T02:29:23.711707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8df1727b401cd4862e6bb5246cd396dc715278e94b580d3ae11dda2135cb08ea

Aliases

arxiv: 1303.2466 · arxiv_version: 1303.2466v3 · doi: 10.48550/arxiv.1303.2466 · pith_short_12: RXYXE62ADTKI · pith_short_16: RXYXE62ADTKIMLTL · pith_short_8: RXYXE62A

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/RXYXE62ADTKIMLTLWUSGZU4W3R \
  | 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: 8df1727b401cd4862e6bb5246cd396dc715278e94b580d3ae11dda2135cb08ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c47286028da606d120fd97e26150db6858c2ce29055dab00689b355da680ca26",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-03-11T09:58:02Z",
    "title_canon_sha256": "690d61bf2284f1ac756ea49cddbb956aa2aa7d2efd117bee6dcc372b998e1399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2466",
    "kind": "arxiv",
    "version": 3
  }
}