Pith Number

pith:W4BCXKJQ

pith:2025:W4BCXKJQXRWO2D42V64IUK3QVJ

not attested not anchored not stored refs pending

Min-max theory and Yamabe metrics on conical four-manifolds

Andrea Malchiodi, Francesco Malizia, Mattia Freguglia

arxiv:2508.02667 v1 · 2025-08-04 · 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{W4BCXKJQXRWO2D42V64IUK3QVJ}

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	2026-07-05T11:48:18.356734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7022ba930bc6ced0f9aafb88a2b70aa5d8bf308b114ee8af9a8e75bc2a6c06d

Aliases

arxiv: 2508.02667 · arxiv_version: 2508.02667v1 · doi: 10.48550/arxiv.2508.02667 · pith_short_12: W4BCXKJQXRWO · pith_short_16: W4BCXKJQXRWO2D42 · pith_short_8: W4BCXKJQ

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/W4BCXKJQXRWO2D42V64IUK3QVJ \
  | 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: b7022ba930bc6ced0f9aafb88a2b70aa5d8bf308b114ee8af9a8e75bc2a6c06d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8923b1d1d525b28fe7a27d472e21f192fcc9406dbf0b0eaa765ba11a86ef90e2",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-08-04T17:57:55Z",
    "title_canon_sha256": "62529c43da39f69ffcc3a2cb9f95fdb0a0fe97155f7b054df64ec0e06e9029e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.02667",
    "kind": "arxiv",
    "version": 1
  }
}