Pith Number

pith:XV7GAUYJ

pith:2020:XV7GAUYJTILH7F3NTROCW7DZDG

not attested not anchored not stored refs pending

$d_p$ convergence and $\epsilon$-regularity theorems for entropy and scalar curvature lower bounds

Aaron Naber, Man-Chun Lee, Robin Neumayer

arxiv:2010.15663 v2 · 2020-10-29 · 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{XV7GAUYJTILH7F3NTROCW7DZDG}

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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

1 paper in Pith

On $3$-manifolds with small mass and $L^2$-curvature

Receipt and verification

First computed	2026-07-05T06:08:01.663433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd7e6053099a167f976d9c5c2b7c7919a955f4381b40d831f11a9f730fc89be2

Aliases

arxiv: 2010.15663 · arxiv_version: 2010.15663v2 · doi: 10.48550/arxiv.2010.15663 · pith_short_12: XV7GAUYJTILH · pith_short_16: XV7GAUYJTILH7F3N · pith_short_8: XV7GAUYJ

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/XV7GAUYJTILH7F3NTROCW7DZDG \
  | 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: bd7e6053099a167f976d9c5c2b7c7919a955f4381b40d831f11a9f730fc89be2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "196e59afbe082cb562cc69a3baeed2ca982a40e1a4aeb39f5e86c31db563c5bc",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-10-29T15:13:05Z",
    "title_canon_sha256": "ed84af42def3e4a682d5d6e1ea06e98a1f2e8175976fe9e07ee41da0747cab13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.15663",
    "kind": "arxiv",
    "version": 2
  }
}