Pith Number

pith:V4SYWNEV

pith:2021:V4SYWNEVAQSQYAQ4NKBT5SGLMG

not attested not anchored not stored refs pending

On the distance sets spanned by sets of dimension $d/2$ in $\mathbb{R}^d$

Hong Wang, Pablo Shmerkin

arxiv:2112.09044 v3 · 2021-12-16 · math.CA · math.CO · 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{V4SYWNEVAQSQYAQ4NKBT5SGLMG}

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

Algorithmic Information Bounds for Distances and Orthogonal Projections

Receipt and verification

First computed	2026-07-05T08:54:40.218804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af258b349504250c021c6a833ec8cb61be1acd135f57e1ad385bb28ae2a71aaf

Aliases

arxiv: 2112.09044 · arxiv_version: 2112.09044v3 · doi: 10.48550/arxiv.2112.09044 · pith_short_12: V4SYWNEVAQSQ · pith_short_16: V4SYWNEVAQSQYAQ4 · pith_short_8: V4SYWNEV

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/V4SYWNEVAQSQYAQ4NKBT5SGLMG \
  | 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: af258b349504250c021c6a833ec8cb61be1acd135f57e1ad385bb28ae2a71aaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45ac55b1f360717ae40915aee86c6bbcc7971a3d0f15e7765cc9c2a4e18051e4",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2021-12-16T17:35:05Z",
    "title_canon_sha256": "344ef904a3b3df071c23d7459df63467f661e5916c57d04813f808991cdbf588"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.09044",
    "kind": "arxiv",
    "version": 3
  }
}