Pith Number

pith:J43ZP7FU

pith:2018:J43ZP7FUZGQ5CRMQCUGPISRSHP

not attested not anchored not stored refs pending

Quasi-isometric embeddings of symmetric spaces and lattices: reducible case

Thang Nguyen

arxiv:1810.09637 v2 · 2018-10-23 · math.DG · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J43ZP7FUZGQ5CRMQCUGPISRSHP}

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	2026-05-17T23:43:50.646261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f3797fcb4c9a1d14590150cf44a323bf56765e9d554cad7bffe6c20b32db7d1

Aliases

arxiv: 1810.09637 · arxiv_version: 1810.09637v2 · doi: 10.48550/arxiv.1810.09637 · pith_short_12: J43ZP7FUZGQ5 · pith_short_16: J43ZP7FUZGQ5CRMQ · pith_short_8: J43ZP7FU

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/J43ZP7FUZGQ5CRMQCUGPISRSHP \
  | 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: 4f3797fcb4c9a1d14590150cf44a323bf56765e9d554cad7bffe6c20b32db7d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "998c49683a092163984a33535a5207ce6ffcd5863663986f7bcde36eab1aceaa",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-10-23T03:15:25Z",
    "title_canon_sha256": "f43f10b0d3856d50f00dbfed054001dbad8c24d11ddb7492d8271d52c4e7e72e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09637",
    "kind": "arxiv",
    "version": 2
  }
}