Pith Number

pith:ZFMUCNQD

pith:2017:ZFMUCNQDIHTW4VIIFCFSLG7AJ2

not attested not anchored not stored refs pending

Metric-measure boundary and geodesic flow on Alexandrov spaces

Alexander Lytchak, Anton Petrunin, Vitali Kapovitch

arxiv:1705.04767 v3 · 2017-05-12 · math.DG · 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{ZFMUCNQDIHTW4VIIFCFSLG7AJ2}

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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	2026-07-05T02:10:47.349000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c95941360341e76e5508288b259be04e8f2f3e045ef68e7ec283fa73637a79d6

Aliases

arxiv: 1705.04767 · arxiv_version: 1705.04767v3 · doi: 10.48550/arxiv.1705.04767 · pith_short_12: ZFMUCNQDIHTW · pith_short_16: ZFMUCNQDIHTW4VII · pith_short_8: ZFMUCNQD

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/ZFMUCNQDIHTW4VIIFCFSLG7AJ2 \
  | 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: c95941360341e76e5508288b259be04e8f2f3e045ef68e7ec283fa73637a79d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a12c2ba76eb56766cb4bab25a27166a6c98ff8fbba98632369b91df4f896875",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-05-12T23:16:37Z",
    "title_canon_sha256": "a865cb31bd7160835fccbf4e1f5de6d8a92b0d0c5fa3ac062b07ba7a4d7eb8db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04767",
    "kind": "arxiv",
    "version": 3
  }
}