Pith Number

pith:A3QEGLZH

pith:2026:A3QEGLZHRLWIOXOTT67XW65YAU

not attested not anchored not stored refs pending

Structured Preconditioning in Affine-Invariant Geometry: Projection, Certificates, and Kronecker Separation

Zavier Li

arxiv:2607.12286 v1 · 2026-07-14 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3QEGLZHRLWIOXOTT67XW65YAU}

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	2026-07-15T00:21:42.856603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06e0432f278aec875dd39fbf7b7bb8051f9bb2b63063a28fe6b4658c6471ff0c

Aliases

arxiv: 2607.12286 · arxiv_version: 2607.12286v1 · doi: 10.48550/arxiv.2607.12286 · pith_short_12: A3QEGLZHRLWI · pith_short_16: A3QEGLZHRLWIOXOT · pith_short_8: A3QEGLZH

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/A3QEGLZHRLWIOXOTT67XW65YAU \
  | 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: 06e0432f278aec875dd39fbf7b7bb8051f9bb2b63063a28fe6b4658c6471ff0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1b4b3d107640e3ef2963b68fca853dc094672ab7ea02f76583b32ae5c406f8d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-14T02:48:14Z",
    "title_canon_sha256": "9f38ee4c311a483163c8f324059a5d01f373a083b2c30b2d347fda8d7bbcedc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12286",
    "kind": "arxiv",
    "version": 1
  }
}