Pith Number

pith:6YDNENJ2

pith:2025:6YDNENJ2W6GB5R2Z2NB4APSJZU

not attested not anchored not stored refs pending

Simple polynomial equations over $(2 \times 2)$-matrices

Alexandre Karassev, Vitalij A. Chatyrko

arxiv:2506.07689 v1 · 2025-06-09 · math.RA · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6YDNENJ2W6GB5R2Z2NB4APSJZU}

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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.

Cited by

1 paper in Pith

Simple polynomial equations over (mxm)-matrices

Receipt and verification

First computed	2026-07-05T11:18:31.569282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f606d2353ab78c1ec759d343c03e49cd09e1d474251c1a2b56b065fc82849fc5

Aliases

arxiv: 2506.07689 · arxiv_version: 2506.07689v1 · doi: 10.48550/arxiv.2506.07689 · pith_short_12: 6YDNENJ2W6GB · pith_short_16: 6YDNENJ2W6GB5R2Z · pith_short_8: 6YDNENJ2

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/6YDNENJ2W6GB5R2Z2NB4APSJZU \
  | 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: f606d2353ab78c1ec759d343c03e49cd09e1d474251c1a2b56b065fc82849fc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9917a1f629ab02df8f8bfa16e13ede44c3de3e526f9383754afcfc8a54a80bf",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-06-09T12:20:03Z",
    "title_canon_sha256": "372d51dc80b5c859de31d9c0810b7188b98688be726cbafd33b6a82a4529f4ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07689",
    "kind": "arxiv",
    "version": 1
  }
}