Pith Number

pith:MXDOYQYI

pith:2026:MXDOYQYI3CBO6E6PLKWOG2ETK2

not attested not anchored not stored refs pending

Gromov-Hausdorff distance and Jung constant of finite-dimensional normed spaces

Alexander O. Ivanov, Alexey A. Tuzhilin, Anton A. Vikhrov, Daniil A. Ilyukhin, Florian Frick, Henry Adams, Ivan N. Mikhailov, Semeon A. Bogatyi

arxiv:2607.18447 v1 · 2026-07-20 · 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{MXDOYQYI3CBO6E6PLKWOG2ETK2}

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.

Receipt and verification

First computed	2026-07-22T00:22:49.067708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65c6ec4308d882ef13cf5aace3689356b78968d377fa35b2390dba643d944908

Aliases

arxiv: 2607.18447 · arxiv_version: 2607.18447v1 · doi: 10.48550/arxiv.2607.18447 · pith_short_12: MXDOYQYI3CBO · pith_short_16: MXDOYQYI3CBO6E6P · pith_short_8: MXDOYQYI

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/MXDOYQYI3CBO6E6PLKWOG2ETK2 \
  | 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: 65c6ec4308d882ef13cf5aace3689356b78968d377fa35b2390dba643d944908

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb6a7d94a081e49c62b224f0cb00afda9e1e029ed64c2f0d3ecf46ddd3cef8e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-07-20T18:59:15Z",
    "title_canon_sha256": "e8e726188d631960318fb00d7d8d6de0d28146721a69d06d13d00164799650e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18447",
    "kind": "arxiv",
    "version": 1
  }
}