Pith Number

pith:DG74OFXS

pith:2006:DG74OFXSB7JGYGSUTWWLHKX75B

not attested not anchored not stored refs pending

Symmetric pairs and associated commuting varieties

Dmitri Panyushev, Oksana Yakimova

arxiv:math/0601534 v1 · 2006-01-22 · 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{DG74OFXSB7JGYGSUTWWLHKX75B}

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	2026-05-17T23:47:21.430185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19bfc716f20fd26c1a549dacb3aaffe875baa381a96a0d0729097e8462d30669

Aliases

arxiv: math/0601534 · arxiv_version: math/0601534v1 · doi: 10.48550/arxiv.math/0601534 · pith_short_12: DG74OFXSB7JG · pith_short_16: DG74OFXSB7JGYGSU · pith_short_8: DG74OFXS

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/DG74OFXSB7JGYGSUTWWLHKX75B \
  | 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: 19bfc716f20fd26c1a549dacb3aaffe875baa381a96a0d0729097e8462d30669

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e4b751150d9e2b687c8085e2b41b2dcff7c5151e8639cb98e3a371fba262f62",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-01-22T20:11:06Z",
    "title_canon_sha256": "ba6b23f0e605c13f942f229332908bc8138ceaab6a839163e9a9ab78008c42bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601534",
    "kind": "arxiv",
    "version": 1
  }
}