Pith Number

pith:VZ2YZ7Q5

pith:2016:VZ2YZ7Q5KSONQPTHLDSKXNSJB5

not attested not anchored not stored refs pending

Finite determinacy of matrices over local rings.II. Tangent modules to the miniversal deformations for group-actions involving the ring automorphisms

Dmitry Kerner, Genrich Belitskii

arxiv:1604.06247 v1 · 2016-04-21 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZ2YZ7Q5KSONQPTHLDSKXNSJB5}

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	2026-05-18T01:16:32.214778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae758cfe1d549cd83e6758e4abb6490f73ff75e8e4de5b27edb22a72867d8205

Aliases

arxiv: 1604.06247 · arxiv_version: 1604.06247v1 · doi: 10.48550/arxiv.1604.06247 · pith_short_12: VZ2YZ7Q5KSON · pith_short_16: VZ2YZ7Q5KSONQPTH · pith_short_8: VZ2YZ7Q5

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/VZ2YZ7Q5KSONQPTHLDSKXNSJB5 \
  | 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: ae758cfe1d549cd83e6758e4abb6490f73ff75e8e4de5b27edb22a72867d8205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a52a1d551c0a0851cf9388999e419019f35398f50fd72174e3e1fc2e5a528b80",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-21T10:31:29Z",
    "title_canon_sha256": "ef6e02aa2b9369032959a449d86ece803fc976637c31c6545268f9ac72e449c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06247",
    "kind": "arxiv",
    "version": 1
  }
}