Pith Number

pith:SWRPTCZJ

pith:2024:SWRPTCZJNR25J6THNWRBF5Z6J2

not attested not anchored not stored refs pending

Radial Projections in $\mathbb{R}^n$ Revisited

Kevin Ren, Paige Bright, Yuqiu Fu

arxiv:2406.09707 v1 · 2024-06-14 · 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{SWRPTCZJNR25J6THNWRBF5Z6J2}

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

Pinned Dot Product Set Estimates

Receipt and verification

First computed	2026-07-05T08:31:58.432210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95a2f98b296c75d4fa676da212f73e4e82455528c34941ac6d5e6ed8f65c095a

Aliases

arxiv: 2406.09707 · arxiv_version: 2406.09707v1 · doi: 10.48550/arxiv.2406.09707 · pith_short_12: SWRPTCZJNR25 · pith_short_16: SWRPTCZJNR25J6TH · pith_short_8: SWRPTCZJ

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/SWRPTCZJNR25J6THNWRBF5Z6J2 \
  | 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: 95a2f98b296c75d4fa676da212f73e4e82455528c34941ac6d5e6ed8f65c095a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d1b93e25756ce2d08181f2807d0f89ce18d30be68f3347c7c2324352af3c154",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-06-14T04:24:49Z",
    "title_canon_sha256": "9675a53940448d9c0f7124cbbdcc8821359a3fb52949279fb7d719fda672794a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.09707",
    "kind": "arxiv",
    "version": 1
  }
}