Pith Number

pith:KXUKJFOS

pith:2003:KXUKJFOS5WWVRGQI5NF5RLEL7Q

not attested not anchored not stored refs pending

Equivalence of domains arising from duality of orbits on flag manifolds II

Toshihiko Matsuki

arxiv:math/0309469 v3 · 2003-09-30 · 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{KXUKJFOS5WWVRGQI5NF5RLEL7Q}

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	2026-05-18T01:19:31.211421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55e8a495d2edad589a08eb4bd8ac8bfc3e9c93a90c7cb30f64857a2413326e65

Aliases

arxiv: math/0309469 · arxiv_version: math/0309469v3 · doi: 10.48550/arxiv.math/0309469 · pith_short_12: KXUKJFOS5WWV · pith_short_16: KXUKJFOS5WWVRGQI · pith_short_8: KXUKJFOS

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/KXUKJFOS5WWVRGQI5NF5RLEL7Q \
  | 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: 55e8a495d2edad589a08eb4bd8ac8bfc3e9c93a90c7cb30f64857a2413326e65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d4aece6ffa493177071082c7cd12659dced3039b11963a8f9f5cf3eaec16c68",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2003-09-30T05:51:43Z",
    "title_canon_sha256": "3cb8974ba8fdce13ec8ef50e4e3fbddabcb4fbaae6ce3fdd408e7277c839525a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309469",
    "kind": "arxiv",
    "version": 3
  }
}