Pith Number

pith:D4SZPHBF

pith:2026:D4SZPHBFRIZQ6D2JFXLCBALE2V

not attested not anchored not stored refs pending

Stable Recovery of Matrix Gauge Classes from Pointwise Invariants

Bernie Hsu, Christoph Ortner, Dexuan Zhou, Huajie Chen

arxiv:2607.29021 v1 · 2026-07-31 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4SZPHBFRIZQ6D2JFXLCBALE2V}

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	2026-08-03T01:18:07.474764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f25979c258a330f0f492dd6208164d57d3911a2bbf7564393606d7ee5bb5819

Aliases

arxiv: 2607.29021 · arxiv_version: 2607.29021v1 · doi: 10.48550/arxiv.2607.29021 · pith_short_12: D4SZPHBFRIZQ · pith_short_16: D4SZPHBFRIZQ6D2J · pith_short_8: D4SZPHBF

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/D4SZPHBFRIZQ6D2JFXLCBALE2V \
  | 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: 1f25979c258a330f0f492dd6208164d57d3911a2bbf7564393606d7ee5bb5819

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "991ce7e6c4fbc9761cfe36028714adf84d537f786ee7421116e742c478b5ff29",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-31T04:48:02Z",
    "title_canon_sha256": "66c5f7c17d15014db93bd989c7a79b54c68ef42d550dc21fc4f769cc2103083f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29021",
    "kind": "arxiv",
    "version": 1
  }
}