Pith Number

pith:ZPQARX5N

pith:2025:ZPQARX5NW4ADSKTNWGGA7HOJG3

not attested not anchored not stored refs pending

Optimal Remainder Estimates in the Quantization of Complex Projective Spaces

B{\l}a\.zej Ruba, Jan Philip Solovej, Tommaso Aschieri

arxiv:2508.19968 v1 · 2025-08-27 · math-ph · math.MP · math.QA · math.RT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPQARX5NW4ADSKTNWGGA7HOJG3}

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	2026-07-05T12:00:20.961117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe008dfadb700392a6db18c0f9dc936c101ef193533c8aa58795bef51746a40

Aliases

arxiv: 2508.19968 · arxiv_version: 2508.19968v1 · doi: 10.48550/arxiv.2508.19968 · pith_short_12: ZPQARX5NW4AD · pith_short_16: ZPQARX5NW4ADSKTN · pith_short_8: ZPQARX5N

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/ZPQARX5NW4ADSKTNWGGA7HOJG3 \
  | 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: cbe008dfadb700392a6db18c0f9dc936c101ef193533c8aa58795bef51746a40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56231665bb5f0649a468ef85f487483808caf86c54dec5226169d2b94b83f3a1",
    "cross_cats_sorted": [
      "math.MP",
      "math.QA",
      "math.RT",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-08-27T15:22:47Z",
    "title_canon_sha256": "91bae4194cd286a71ef100c6abee0f0460d7b4419fdec14addfd5b000247cc15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.19968",
    "kind": "arxiv",
    "version": 1
  }
}