Pith Number

pith:QS6GKGOR

pith:2025:QS6GKGORGK3TV3Q3NUXP72MA5O

not attested not anchored not stored refs pending

Connected sum of manifolds with spectral Ricci lower bounds

Gioacchino Antonelli, Kai Xu

arxiv:2505.18320 v1 · 2025-05-23 · 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{QS6GKGORGK3TV3Q3NUXP72MA5O}

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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.

Cited by

2 papers in Pith

Criticality, splitting theorems under spectral Ricci bounds and the topology of stable minimal hypersurfaces

Gradient estimates for the Green kernel under spectral Ricci bounds, and the stable Bernstein theorem in $\mathbb{R}^4$

Receipt and verification

First computed	2026-07-05T11:08:44.663505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84bc6519d132b73aee1b6d2effe980eb9735c26906db3651420204fe3d977df4

Aliases

arxiv: 2505.18320 · arxiv_version: 2505.18320v1 · doi: 10.48550/arxiv.2505.18320 · pith_short_12: QS6GKGORGK3T · pith_short_16: QS6GKGORGK3TV3Q3 · pith_short_8: QS6GKGOR

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/QS6GKGORGK3TV3Q3NUXP72MA5O \
  | 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: 84bc6519d132b73aee1b6d2effe980eb9735c26906db3651420204fe3d977df4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cee5d1eaffb2aa709043ae4591617e80d6fe37c2358172d7c8c8144ac358197",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-05-23T19:27:01Z",
    "title_canon_sha256": "e40b0494439b09086b2eb32973e302bae9bb5597b2f5c39acd9e7396082b8368"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.18320",
    "kind": "arxiv",
    "version": 1
  }
}