Pith Number

pith:IX7YEBLQ

pith:2010:IX7YEBLQBPCFLCQWOHN6YIMTYG

not attested not anchored not stored refs pending

Normal forms of matrices over the ring of formal series

Dmitry Kerner, Genrich Belitskii

arxiv:1009.2440 v2 · 2010-09-13 · 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{IX7YEBLQBPCFLCQWOHN6YIMTYG}

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	2026-05-18T04:37:12.613221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45ff8205700bc4558a1671dbec2193c1a6bed7b2030e71f0cc5afdb57b1b85e5

Aliases

arxiv: 1009.2440 · arxiv_version: 1009.2440v2 · doi: 10.48550/arxiv.1009.2440 · pith_short_12: IX7YEBLQBPCF · pith_short_16: IX7YEBLQBPCFLCQW · pith_short_8: IX7YEBLQ

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/IX7YEBLQBPCFLCQWOHN6YIMTYG \
  | 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: 45ff8205700bc4558a1671dbec2193c1a6bed7b2030e71f0cc5afdb57b1b85e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e377597224dc4a5be75c08a9145a727f7e6de304cf2910222b1b39b6b035df8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-09-13T16:17:53Z",
    "title_canon_sha256": "827ab3ae8f9cc282a8cb1d7b53505b4e5927ec35fcb3dd9f9ea31bc83ec2acdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2440",
    "kind": "arxiv",
    "version": 2
  }
}