Pith Number

pith:545NGEN6

pith:2019:545NGEN63H6DU4THNT7E3VMOAT

not attested not anchored not stored refs pending

On the topology and the boundary of N-dimensional RCD(K,N) spaces

Andrea Mondino, Vitali Kapovitch

arxiv:1907.02614 v3 · 2019-07-04 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{545NGEN63H6DU4THNT7E3VMOAT}

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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

Fibrations, the First Betti Number, and Almost Nonnegative Ricci Curvature

One-phase Free Boundary Problems on RCD Metric Measure Spaces

Receipt and verification

First computed	2026-07-05T02:21:32.849724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef3ad311bed9fc3a72676cfe4dd58e04e61e8d06f09b174d6b8b2e606f70e7c5

Aliases

arxiv: 1907.02614 · arxiv_version: 1907.02614v3 · doi: 10.48550/arxiv.1907.02614 · pith_short_12: 545NGEN63H6D · pith_short_16: 545NGEN63H6DU4TH · pith_short_8: 545NGEN6

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/545NGEN63H6DU4THNT7E3VMOAT \
  | 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: ef3ad311bed9fc3a72676cfe4dd58e04e61e8d06f09b174d6b8b2e606f70e7c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd2a3855efee1f807e87068328d645a9da098bf28a6f4f54b5873aec780e1c7f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-07-04T22:16:54Z",
    "title_canon_sha256": "ed89b3a20ce41a67459865a0a8917f96e8f7bf098c1d02c63fb36a2083c2759b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02614",
    "kind": "arxiv",
    "version": 3
  }
}