Pith Number

pith:763F4PDY

pith:2026:763F4PDYRTR6SKEGJ5P5RI2R4U

not attested not anchored not stored refs pending

The Uniform Gromov Hausdorff Gap Problem for Approximating Spheres by Finite Homogeneous Spaces

Itai Benjamini

arxiv:2608.01156 v1 · 2026-08-02 · 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{763F4PDYRTR6SKEGJ5P5RI2R4U}

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	2026-08-04T01:57:09.335151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffb65e3c788ce3e928864f5fd8a351e522c9d5efcbab2f09f9af52707b316e64

Aliases

arxiv: 2608.01156 · arxiv_version: 2608.01156v1 · doi: 10.48550/arxiv.2608.01156 · pith_short_12: 763F4PDYRTR6 · pith_short_16: 763F4PDYRTR6SKEG · pith_short_8: 763F4PDY

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/763F4PDYRTR6SKEGJ5P5RI2R4U \
  | 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: ffb65e3c788ce3e928864f5fd8a351e522c9d5efcbab2f09f9af52707b316e64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ef42668bc8c9fa47812d061f09962eb8edb8ad4dc4d157d5f84bab866728b40",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-08-02T11:27:39Z",
    "title_canon_sha256": "9ee621c269a4419246a31dd3ad2c6edfa85b0f22b49951d9f369743899b6fa86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01156",
    "kind": "arxiv",
    "version": 1
  }
}