Pith Number

pith:Z5V4IYWK

pith:2023:Z5V4IYWKMFUR5R6OKR52KOYE6R

not attested not anchored not stored refs pending

A Hyperbolic Extension of Kadison-Singer Type Results

Ruizhe Zhang, Xinzhi Zhang

arxiv:2305.02566 v1 · 2023-05-04 · math.PR · cs.DM · cs.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5V4IYWKMFUR5R6OKR52KOYE6R}

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	2026-07-05T06:07:02.594402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf6bc462ca61691ec7ce547ba53b04f449d6494bc6b0497b5f9a1f563a1ca7c6

Aliases

arxiv: 2305.02566 · arxiv_version: 2305.02566v1 · doi: 10.48550/arxiv.2305.02566 · pith_short_12: Z5V4IYWKMFUR · pith_short_16: Z5V4IYWKMFUR5R6O · pith_short_8: Z5V4IYWK

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/Z5V4IYWKMFUR5R6OKR52KOYE6R \
  | 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: cf6bc462ca61691ec7ce547ba53b04f449d6494bc6b0497b5f9a1f563a1ca7c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e575c11a83a997d11ee2592907d0ae8a009c66be2ce7a6c2214b2dbfb6c63681",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-05-04T05:51:16Z",
    "title_canon_sha256": "aa6155ae38b8a06d2c1add6e954e44116f7599553b5e7225ea5489a3e75749a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.02566",
    "kind": "arxiv",
    "version": 1
  }
}