Pith Number

pith:EVY45Z6V

pith:2018:EVY45Z6V3UTELX3P4WSTUEO3XC

not attested not anchored not stored refs pending

Perturbation theory for the matrix square root and matrix modulus

Marcus Carlsson

arxiv:1810.01464 v1 · 2018-10-02 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EVY45Z6V3UTELX3P4WSTUEO3XC}

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	2026-05-18T00:04:12.156224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2571cee7d5dd2645df6fe5a53a11dbb88e5c30ee4f85c230377e4a31c2e589c4

Aliases

arxiv: 1810.01464 · arxiv_version: 1810.01464v1 · doi: 10.48550/arxiv.1810.01464 · pith_short_12: EVY45Z6V3UTE · pith_short_16: EVY45Z6V3UTELX3P · pith_short_8: EVY45Z6V

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/EVY45Z6V3UTELX3P4WSTUEO3XC \
  | 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: 2571cee7d5dd2645df6fe5a53a11dbb88e5c30ee4f85c230377e4a31c2e589c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "992d1645c9ce5893cea4f6f7e3e033e15998738a0c4703603f972abb7d64d969",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-10-02T19:19:26Z",
    "title_canon_sha256": "4724ec62f651fe04f1ac1fa66a1c53d153eca8cec27910313976ff22b021fb3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01464",
    "kind": "arxiv",
    "version": 1
  }
}