Pith Number

pith:P7QPWHC5

pith:2024:P7QPWHC5CRIB2KU6WSGNTWJFSQ

not attested not anchored not stored refs pending

When the Gromov-Hausdorff distance between finite-dimensional space and its subset is finite?

A. A. Tuzhilin, I. N. Mikhailov

arxiv:2411.13539 v1 · 2024-11-20 · 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{P7QPWHC5CRIB2KU6WSGNTWJFSQ}

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	2026-07-05T09:38:18.844357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fe0fb1c5d14501d2a9eb48cd9d9259400974ec73f86b24302a8632963219498

Aliases

arxiv: 2411.13539 · arxiv_version: 2411.13539v1 · doi: 10.48550/arxiv.2411.13539 · pith_short_12: P7QPWHC5CRIB · pith_short_16: P7QPWHC5CRIB2KU6 · pith_short_8: P7QPWHC5

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/P7QPWHC5CRIB2KU6WSGNTWJFSQ \
  | 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: 7fe0fb1c5d14501d2a9eb48cd9d9259400974ec73f86b24302a8632963219498

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf06da0f168e5d18fd6f6e77c7fd5dc688700afc7a937728c4bbd854cbba8652",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2024-11-20T18:42:15Z",
    "title_canon_sha256": "aa221271dfd4e8696c2e174058ae63cd4f78ffad3229fbb7d0757e28e4964dee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13539",
    "kind": "arxiv",
    "version": 1
  }
}