Pith Number

pith:47PPKLP6

pith:2025:47PPKLP622Y4SJTZRXDU2E3CMF

not attested not anchored not stored refs pending

Dual canonical bases and embeddings of symmetric spaces

Huanchen Bao, Jinfeng Song

arxiv:2505.01173 v2 · 2025-05-02 · math.RT · math.AG · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{47PPKLP622Y4SJTZRXDU2E3CMF}

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.

Cited by

1 paper in Pith

Reductive monoids over general base

Receipt and verification

First computed	2026-07-05T11:44:05.368307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7def52dfed6b1c926798dc74d1362614ce38cd485b645178eed97584f99b2e0

Aliases

arxiv: 2505.01173 · arxiv_version: 2505.01173v2 · doi: 10.48550/arxiv.2505.01173 · pith_short_12: 47PPKLP622Y4 · pith_short_16: 47PPKLP622Y4SJTZ · pith_short_8: 47PPKLP6

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/47PPKLP622Y4SJTZRXDU2E3CMF \
  | 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: e7def52dfed6b1c926798dc74d1362614ce38cd485b645178eed97584f99b2e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdcdbfca7a1a89ed861216e9f931713079677cc078e32208aa7cf80896efe01c",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-05-02T10:31:01Z",
    "title_canon_sha256": "5ff01c1970f33a1fe07810bc5644a5541050dbb1e8ad4eaa81e238c95e3c7c2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.01173",
    "kind": "arxiv",
    "version": 2
  }
}