Pith Number

pith:DP4GQ7XT

pith:2010:DP4GQ7XTWC2HRZ3Z3YLCFTF2PK

not attested not anchored not stored refs pending

Extended weight semigroups of affine spherical homogeneous spaces of non-simple semisimple algebraic groups

Roman Avdeev

arxiv:1012.0132 v2 · 2010-12-01 · 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{DP4GQ7XTWC2HRZ3Z3YLCFTF2PK}

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	2026-05-18T04:08:24.449706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bf8687ef3b0b478e779de1622ccba7a9b1483baffd43f9dee60511e875475cd

Aliases

arxiv: 1012.0132 · arxiv_version: 1012.0132v2 · doi: 10.48550/arxiv.1012.0132 · pith_short_12: DP4GQ7XTWC2H · pith_short_16: DP4GQ7XTWC2HRZ3Z · pith_short_8: DP4GQ7XT

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/DP4GQ7XTWC2HRZ3Z3YLCFTF2PK \
  | 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: 1bf8687ef3b0b478e779de1622ccba7a9b1483baffd43f9dee60511e875475cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e3373d3c89b4b5014527431547ba90ddb6effd087849a978f4999a58374271b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-12-01T09:24:05Z",
    "title_canon_sha256": "ae83637c20f4ac4dd35f3132e08c409ac1e16d86fcf2ab7f98e0d17706276934"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0132",
    "kind": "arxiv",
    "version": 2
  }
}