Pith Number

pith:7LANBY34

pith:2018:7LANBY34E2LDP7X4RRBUS3CFGG

not attested not anchored not stored refs pending

Isometry Group of Gromov--Hausdorff Space

Alexander Ivanov, Alexey Tuzhilin

arxiv:1806.02100 v2 · 2018-06-06 · 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{7LANBY34E2LDP7X4RRBUS3CFGG}

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

The Gromov-Hausdorff Distances between Simplexes and Ultrametric Spaces

Receipt and verification

First computed	2026-05-18T00:13:54.756482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fac0d0e37c269637fefc8c43496c4531a2abe7e4e9f30c0d0000fd2bf9a405b9

Aliases

arxiv: 1806.02100 · arxiv_version: 1806.02100v2 · doi: 10.48550/arxiv.1806.02100 · pith_short_12: 7LANBY34E2LD · pith_short_16: 7LANBY34E2LDP7X4 · pith_short_8: 7LANBY34

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/7LANBY34E2LDP7X4RRBUS3CFGG \
  | 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: fac0d0e37c269637fefc8c43496c4531a2abe7e4e9f30c0d0000fd2bf9a405b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1720c4cca9e6ebe3d76e4c38a911b0c80a7f471b64f7032061aa3c4b7fa72f95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-06-06T10:27:45Z",
    "title_canon_sha256": "07563a40adefa924c11f0738eed1ba02a5cd672bd788c11844947f97c4d0d093"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02100",
    "kind": "arxiv",
    "version": 2
  }
}