Pith Number

pith:GJUFAWSR

pith:2025:GJUFAWSRG7QISJTZ23BEVSN2QQ

not attested not anchored not stored refs pending

Euclidean Domains with Nearly Maximal Yamabe Quotient

Liam Mazurowski, Xuan Yao

arxiv:2501.12347 v1 · 2025-01-21 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJUFAWSRG7QISJTZ23BEVSN2QQ}

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	2026-07-05T10:03:34.931102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3268505a5137e0892679d6c24ac9ba843c555f50b38a304f4c6356f1aafed55b

Aliases

arxiv: 2501.12347 · arxiv_version: 2501.12347v1 · doi: 10.48550/arxiv.2501.12347 · pith_short_12: GJUFAWSRG7QI · pith_short_16: GJUFAWSRG7QISJTZ · pith_short_8: GJUFAWSR

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/GJUFAWSRG7QISJTZ23BEVSN2QQ \
  | 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: 3268505a5137e0892679d6c24ac9ba843c555f50b38a304f4c6356f1aafed55b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0ce53e9c300088fc93d6ccfdea0fb174e5fbe75ee1a0467bfe3bb8ab33bb8aa",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-01-21T18:25:31Z",
    "title_canon_sha256": "f35566a393a652d4b35f12803853eae296d8f1c6f27f23ea12b4dc75823a626b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.12347",
    "kind": "arxiv",
    "version": 1
  }
}