Pith Number

pith:FWOPMK2H

pith:2023:FWOPMK2HYHDS2PUMXOQ2ACMVYX

not attested not anchored not stored refs pending

Quantitative upper bounds on the Gromov-Hausdorff distance between spheres

Michael Harrison, R. Amzi Jeffs

arxiv:2309.11237 v3 · 2023-09-20 · math.MG · math.AT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FWOPMK2HYHDS2PUMXOQ2ACMVYX}

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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

2 papers in Pith

Some novel constructions of optimal Gromov-Hausdorff-optimal correspondences between spheres

Homotopy connectivity of \v{C}ech complexes of spheres

Receipt and verification

First computed	2026-07-05T08:59:03.819639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d9cf62b47c1c72d3e8cbba1a00995c5f2b1cb74ddb044f874eef9b314e1f513

Aliases

arxiv: 2309.11237 · arxiv_version: 2309.11237v3 · doi: 10.48550/arxiv.2309.11237 · pith_short_12: FWOPMK2HYHDS · pith_short_16: FWOPMK2HYHDS2PUM · pith_short_8: FWOPMK2H

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/FWOPMK2HYHDS2PUMXOQ2ACMVYX \
  | 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: 2d9cf62b47c1c72d3e8cbba1a00995c5f2b1cb74ddb044f874eef9b314e1f513

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "215d2e465b974a2164eafbf60272bf59924ed2fb88c58da79afd5c1fca0ef07b",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2023-09-20T12:02:21Z",
    "title_canon_sha256": "22a758f5aff200c13b49a3702621e90ae211c40e542480f0b05cf372e1173678"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.11237",
    "kind": "arxiv",
    "version": 3
  }
}