Pith Number

pith:UEZ2ZMZA

pith:2018:UEZ2ZMZAAE35WZVTQH3J4TZC3H

not attested not anchored not stored refs pending

Embedding of $RCD^*(K,N)$ spaces in $L^2$ via eigenfunctions

David Tewodrose, Jacobus W. Portegies, Luigi Ambrosio, Shouhei Honda

arxiv:1812.03712 v2 · 2018-12-10 · math.MG · math.DG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UEZ2ZMZAAE35WZVTQH3J4TZC3H}

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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

Rectifiability of the reduced boundary for sets of finite perimeter over RCD$(K,N)$ spaces

Receipt and verification

First computed	2026-07-05T02:16:10.621248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a133acb3200137db66b381f69e4f22d9c78437af30cb5c14c1b8e2bda886ab38

Aliases

arxiv: 1812.03712 · arxiv_version: 1812.03712v2 · doi: 10.48550/arxiv.1812.03712 · pith_short_12: UEZ2ZMZAAE35 · pith_short_16: UEZ2ZMZAAE35WZVT · pith_short_8: UEZ2ZMZA

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/UEZ2ZMZAAE35WZVTQH3J4TZC3H \
  | 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: a133acb3200137db66b381f69e4f22d9c78437af30cb5c14c1b8e2bda886ab38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1eb4c2be3344de85e82c09ae4e12e86cf35eafd8b3d7695011f406d2a2009f3",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-12-10T10:11:42Z",
    "title_canon_sha256": "e21cf3278d84e0ac56be17795ed6c86b416f7ba697019c6fb08c6e6f91f0f1b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03712",
    "kind": "arxiv",
    "version": 2
  }
}