Pith Number

pith:Q5ARZXTQ

pith:2025:Q5ARZXTQCWRYSGIOAICFIHPVHN

not attested not anchored not stored refs pending

New geodesic lines in the Gromov-Hausdorff class lying in the cloud of the real line

Ivan N. Mikhailov

arxiv:2504.14629 v1 · 2025-04-20 · 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{Q5ARZXTQCWRYSGIOAICFIHPVHN}

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	2026-07-05T10:51:47.857793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87411cde7015a389190e0204541df53b75270901692ede074f1d040082a73486

Aliases

arxiv: 2504.14629 · arxiv_version: 2504.14629v1 · doi: 10.48550/arxiv.2504.14629 · pith_short_12: Q5ARZXTQCWRY · pith_short_16: Q5ARZXTQCWRYSGIO · pith_short_8: Q5ARZXTQ

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/Q5ARZXTQCWRYSGIOAICFIHPVHN \
  | 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: 87411cde7015a389190e0204541df53b75270901692ede074f1d040082a73486

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d4bafae356d1e51db7791946126c2ecb7bfbf919389927c1583f0b662e8b455",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-04-20T14:11:57Z",
    "title_canon_sha256": "6613ec8797c7fb71f684ebec3e40a9dae86551576ca6cb86cee0ba706f2af1a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.14629",
    "kind": "arxiv",
    "version": 1
  }
}