Pith Number

pith:O5UV6ZC3

pith:2025:O5UV6ZC33UJG624ZSMVKVBEMLN

not attested not anchored not stored refs pending

Simple polynomial equations over (mxm)-matrices

Alexandre Karassev, Vitalij A. Chatyrko

arxiv:2507.07085 v1 · 2025-07-09 · 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{O5UV6ZC33UJG624ZSMVKVBEMLN}

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	2026-07-05T11:34:28.831788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77695f645bdd126f6b99932aaa848c5b76caff49a182534a4256d783ef4af161

Aliases

arxiv: 2507.07085 · arxiv_version: 2507.07085v1 · doi: 10.48550/arxiv.2507.07085 · pith_short_12: O5UV6ZC33UJG · pith_short_16: O5UV6ZC33UJG624Z · pith_short_8: O5UV6ZC3

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/O5UV6ZC33UJG624ZSMVKVBEMLN \
  | 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: 77695f645bdd126f6b99932aaa848c5b76caff49a182534a4256d783ef4af161

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "890bcffb9eb1da20eddadc4ad9bb4e3cae264af6877683a8ee7ee6c4ec8ed1be",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-07-09T17:47:16Z",
    "title_canon_sha256": "d907854c7000e6e2744f3de8cfbd45f0b7855244c357e873eb9ade58b76a04a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07085",
    "kind": "arxiv",
    "version": 1
  }
}