Pith Number

pith:URZVILNN

pith:2018:URZVILNNVUV2CCAIPLTTD5V4U2

not attested not anchored not stored refs pending

Embeddings from noncompact symmetric spaces to their compact duals

Naichung Conan Leung, Yongdong Huang, Yunxia Chen

arxiv:1811.02778 v1 · 2018-11-07 · 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{URZVILNNVUV2CCAIPLTTD5V4U2}

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	2026-05-18T00:01:20.815012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a473542dadad2ba108087ae731f6bca69b8bc2c522024dc4f0e4b5a3cf7a77d2

Aliases

arxiv: 1811.02778 · arxiv_version: 1811.02778v1 · doi: 10.48550/arxiv.1811.02778 · pith_short_12: URZVILNNVUV2 · pith_short_16: URZVILNNVUV2CCAI · pith_short_8: URZVILNN

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/URZVILNNVUV2CCAIPLTTD5V4U2 \
  | 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: a473542dadad2ba108087ae731f6bca69b8bc2c522024dc4f0e4b5a3cf7a77d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7c4107a74701a64efb7525d419322bacceb14bad7cbcbca6352a05c1fabd350",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-11-07T07:06:40Z",
    "title_canon_sha256": "2594821b27ea5b7d499ff996c12d5636889652408243379004114368bfa9e36f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02778",
    "kind": "arxiv",
    "version": 1
  }
}