Pith Number

pith:5UG2TEAI

pith:2025:5UG2TEAIC4OEUAYWVNNLGFMDAK

not attested not anchored not stored refs pending

On the Gromov-Hausdorff distance between the cloud of bounded metric spaces and a cloud with nontrivial stabilizer

B. A. Nesterov

arxiv:2505.23563 v1 · 2025-05-29 · 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{5UG2TEAIC4OEUAYWVNNLGFMDAK}

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	2026-07-05T11:12:03.985674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed0da99008171c4a0316ab5ab31583028bec2470093e44f04f7896ca698a9f9c

Aliases

arxiv: 2505.23563 · arxiv_version: 2505.23563v1 · doi: 10.48550/arxiv.2505.23563 · pith_short_12: 5UG2TEAIC4OE · pith_short_16: 5UG2TEAIC4OEUAYW · pith_short_8: 5UG2TEAI

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/5UG2TEAIC4OEUAYWVNNLGFMDAK \
  | 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: ed0da99008171c4a0316ab5ab31583028bec2470093e44f04f7896ca698a9f9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf5c275be89c482a4eacde65d1bc5709fde33e597124d152d880fa2f9c96eeaf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-05-29T15:38:04Z",
    "title_canon_sha256": "3f0bf6eee02c5fb827fb9857e5a2b58fed2d57c040390b9c5e651bbf0b94af1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23563",
    "kind": "arxiv",
    "version": 1
  }
}