Pith Number

pith:WLHCQTDF

pith:2025:WLHCQTDFAY5OJE2NFEX4KRZIYP

not attested not anchored not stored refs pending

Geometric Learning and Finsler Metrics in Weighted Projective Spaces

Tony Shaska

arxiv:2507.00001 v3 · 2025-05-07 · math.DG · 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{WLHCQTDFAY5OJE2NFEX4KRZIYP}

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	2026-06-19T16:09:49.854922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2ce284c65063ae4934d292fc54728c3d2a02fd88f4dd2a5dbb52fd5d5520e6c

Aliases

arxiv: 2507.00001 · arxiv_version: 2507.00001v3 · doi: 10.48550/arxiv.2507.00001 · pith_short_12: WLHCQTDFAY5O · pith_short_16: WLHCQTDFAY5OJE2N · pith_short_8: WLHCQTDF

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/WLHCQTDFAY5OJE2NFEX4KRZIYP \
  | 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: b2ce284c65063ae4934d292fc54728c3d2a02fd88f4dd2a5dbb52fd5d5520e6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67e641170153a18813c16d60e64fccb11a8e3c7a35a883443db5f9a9cd8b5757",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-05-07T21:57:27Z",
    "title_canon_sha256": "d0adeb4d9d5721ab0ad70d555aab47d36678de705508661beaeea13eeea45131"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.00001",
    "kind": "arxiv",
    "version": 3
  }
}