Pith Number

pith:WY5V4U62

pith:2013:WY5V4U6277YDICXUBVYSWSXAKW

not attested not anchored not stored refs pending

Change of the *congruence canonical form of 2-by-2 matrices under perturbations

Lena Klimenko, Vladimir V. Sergeichuk, Vyacheslav Futorny

arxiv:1304.5762 v1 · 2013-04-21 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WY5V4U6277YDICXUBVYSWSXAKW}

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	2026-05-18T02:56:44.268782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b63b5e53dafff0340af40d712b4ae055b3b21637db5897e5aae1f9a78f1b46e4

Aliases

arxiv: 1304.5762 · arxiv_version: 1304.5762v1 · doi: 10.48550/arxiv.1304.5762 · pith_short_12: WY5V4U6277YD · pith_short_16: WY5V4U6277YDICXU · pith_short_8: WY5V4U62

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/WY5V4U6277YDICXUBVYSWSXAKW \
  | 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: b63b5e53dafff0340af40d712b4ae055b3b21637db5897e5aae1f9a78f1b46e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cde5179bd22dab0dc994efcfa67bc14cfc84d16bde09848f39131277befa0d5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-04-21T16:29:49Z",
    "title_canon_sha256": "b7deb8cb8ad168458aa9e1fb1916d8c2326410f94ac3adf43fa4d57b595c562f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5762",
    "kind": "arxiv",
    "version": 1
  }
}