Pith Number

pith:6SWKM56X

pith:2026:6SWKM56XOUOLCUKVXMPARNHCZ3

not attested not anchored not stored refs pending

Vector alignment in matrix Lie groups

Congzhou M Sha

arxiv:2606.30868 v1 · 2026-06-29 · math.NA · cs.NA · hep-lat · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6SWKM56XOUOLCUKVXMPARNHCZ3}

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	2026-07-01T00:17:19.982338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4aca677d7751cb15155bb1e08b4e2cec4e960607cde0bafe085edafa0feb9f9

Aliases

arxiv: 2606.30868 · arxiv_version: 2606.30868v1 · doi: 10.48550/arxiv.2606.30868 · pith_short_12: 6SWKM56XOUOL · pith_short_16: 6SWKM56XOUOLCUKV · pith_short_8: 6SWKM56X

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/6SWKM56XOUOLCUKVXMPARNHCZ3 \
  | 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: f4aca677d7751cb15155bb1e08b4e2cec4e960607cde0bafe085edafa0feb9f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89438cd681b1a39897538dee92a8257de6428ecec97b1e75ad020fca242c3a4e",
    "cross_cats_sorted": [
      "cs.NA",
      "hep-lat",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-29T20:00:32Z",
    "title_canon_sha256": "a7f870bbf8b0b39cf3629f93f533f94b7a954fde726d14af46d7bef36cb1982b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30868",
    "kind": "arxiv",
    "version": 1
  }
}