Pith Number

pith:V55SBCBQ

pith:2021:V55SBCBQWPEEY2J35GVCXCBE2Z

not attested not anchored not stored refs pending

Gromov-Hausdorff class: its completeness and cloud geometry

Alexey A. Tuzhilin, Semeon A. Bogaty

arxiv:2110.06101 v1 · 2021-10-12 · 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{V55SBCBQWPEEY2J35GVCXCBE2Z}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

Contractibility of the space of $\varepsilon$-nets in $\mathbb{R}$

Receipt and verification

First computed	2026-07-05T03:22:10.547942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af7b208830b3c84c693be9aa2b8824d65b5e39295361a89a80e77d56691d0118

Aliases

arxiv: 2110.06101 · arxiv_version: 2110.06101v1 · doi: 10.48550/arxiv.2110.06101 · pith_short_12: V55SBCBQWPEE · pith_short_16: V55SBCBQWPEEY2J3 · pith_short_8: V55SBCBQ

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/V55SBCBQWPEEY2J35GVCXCBE2Z \
  | 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: af7b208830b3c84c693be9aa2b8824d65b5e39295361a89a80e77d56691d0118

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ddf2e047548f78627e97b82465143ebecd18639363b47f699366b7334e5fbde",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2021-10-12T15:49:45Z",
    "title_canon_sha256": "da7114f85676c0bf34b8fe1f6e9be1d20e0507becf9ad074c63cae457ad226fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.06101",
    "kind": "arxiv",
    "version": 1
  }
}