Pith Number

pith:MMLIDGVF

pith:2004:MMLIDGVFP7GBEZJVSAYDN72XYE

not attested not anchored not stored refs pending

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

Toshihiko Matsuki

arxiv:math/0410302 v1 · 2004-10-13 · 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{MMLIDGVFP7GBEZJVSAYDN72XYE}

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	2026-05-18T01:19:31.203125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6316819aa57fcc126535903036ff57c10adeb975aa66cb49103c999539056afa

Aliases

arxiv: math/0410302 · arxiv_version: math/0410302v1 · doi: 10.48550/arxiv.math/0410302 · pith_short_12: MMLIDGVFP7GB · pith_short_16: MMLIDGVFP7GBEZJV · pith_short_8: MMLIDGVF

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/MMLIDGVFP7GBEZJVSAYDN72XYE \
  | 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: 6316819aa57fcc126535903036ff57c10adeb975aa66cb49103c999539056afa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b9d0b1742cc6e82fdfc3d52e3007fe2d955697517f9fdb59f28ae9530156a19",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2004-10-13T01:24:57Z",
    "title_canon_sha256": "e53e881db2d1c66823290bf73c98c4b47036e948860e29372ef48fb3c158aaa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410302",
    "kind": "arxiv",
    "version": 1
  }
}