Pith Number

pith:6OUVA5NV

pith:2003:6OUVA5NVGMCMZU5566GXP4MRCW

not attested not anchored not stored refs pending

Theta lifting of nilpotent orbits for symmetric pairs

Chen-bo Zhu, Hiroyuki Ochiai, Kyo Nishiyama

arxiv:math/0312453 v1 · 2003-12-25 · 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{6OUVA5NVGMCMZU5566GXP4MRCW}

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	2026-05-18T04:33:16.561209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3a95075b53304ccd3bdf78d77f19115a0f971d9c61a82e16fb5220c2a13c521

Aliases

arxiv: math/0312453 · arxiv_version: math/0312453v1 · doi: 10.48550/arxiv.math/0312453 · pith_short_12: 6OUVA5NVGMCM · pith_short_16: 6OUVA5NVGMCMZU55 · pith_short_8: 6OUVA5NV

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/6OUVA5NVGMCMZU5566GXP4MRCW \
  | 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: f3a95075b53304ccd3bdf78d77f19115a0f971d9c61a82e16fb5220c2a13c521

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bfce6f6470199ceadd01108b83d463d7d7ae1522303f77aae050323441bd03b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2003-12-25T03:06:28Z",
    "title_canon_sha256": "27d84c56adfb9f6f9a7cabcc5ee9445b9ae80aa6c88c734780254fcf2ea1ab91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312453",
    "kind": "arxiv",
    "version": 1
  }
}