Pith Number

pith:CQECSGTN

pith:2021:CQECSGTNGWZ4IKQHMBBR236DXQ

not attested not anchored not stored refs pending

Weak Laplacian bounds and minimal boundaries in non-smooth spaces with Ricci curvature lower bounds

Andrea Mondino, Daniele Semola

arxiv:2107.12344 v3 · 2021-07-26 · math.DG · math.AP · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQECSGTNGWZ4IKQHMBBR236DXQ}

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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

Integral type Gauss-Green formula on non-collapsed RCD spaces and its applications

One-phase Free Boundary Problems on RCD Metric Measure Spaces

Receipt and verification

First computed	2026-07-05T05:42:20.773690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1408291a6d35b3c42a0760431d6fc3bc0a79932152b70408960fb2722fb8ace4

Aliases

arxiv: 2107.12344 · arxiv_version: 2107.12344v3 · doi: 10.48550/arxiv.2107.12344 · pith_short_12: CQECSGTNGWZ4 · pith_short_16: CQECSGTNGWZ4IKQH · pith_short_8: CQECSGTN

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/CQECSGTNGWZ4IKQHMBBR236DXQ \
  | 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: 1408291a6d35b3c42a0760431d6fc3bc0a79932152b70408960fb2722fb8ace4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61cfdfb211b5c98b9d2310ec87b109c04c11368823cc0ca04f0c08c21c3b8a97",
    "cross_cats_sorted": [
      "math.AP",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-07-26T17:34:39Z",
    "title_canon_sha256": "bf437c829dda467c6bf67cfeb921932e689ec0b8d2b0342a745e4678c7941820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.12344",
    "kind": "arxiv",
    "version": 3
  }
}