Pith Number

pith:GZ3XFZHE

pith:2025:GZ3XFZHEW66QW7AHQKJ3BWDNI3

not attested not anchored not stored refs pending

Power Laws for the Favard Length Problem in $\mathbb{R}^d$

Caleb Marshall

arxiv:2509.02882 v1 · 2025-09-02 · math.CA · math.MG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZ3XFZHEW66QW7AHQKJ3BWDNI3}

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

A Quantified Two-projection Theorem for Nonlinear Projections

Receipt and verification

First computed	2026-07-05T12:03:59.170475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

367772e4e4b7bd0b7c078293b0d86d46f91fe764b41d86f721269440eeea0f3f

Aliases

arxiv: 2509.02882 · arxiv_version: 2509.02882v1 · doi: 10.48550/arxiv.2509.02882 · pith_short_12: GZ3XFZHEW66Q · pith_short_16: GZ3XFZHEW66QW7AH · pith_short_8: GZ3XFZHE

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/GZ3XFZHEW66QW7AHQKJ3BWDNI3 \
  | 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: 367772e4e4b7bd0b7c078293b0d86d46f91fe764b41d86f721269440eeea0f3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92693986ddbec15107962cda61b9093681430a4da92d1042ffa048478a7307b1",
    "cross_cats_sorted": [
      "math.MG",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-09-02T23:05:43Z",
    "title_canon_sha256": "d3928e1af33fb0bab0898aca6c68873b7b942b870bec9cc2e4efc80ddac9e4d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02882",
    "kind": "arxiv",
    "version": 1
  }
}