Pith Number

pith:FZQITC2A

pith:2017:FZQITC2A4PSRPPI3733IKTU43R

not attested not anchored not stored refs pending

Dynamics of Linear Systems over Finite Commutative Rings

Guangwu Xu, Yangjiang Wei, Yi Ming Zou

arxiv:1709.08579 v1 · 2017-09-25 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZQITC2A4PSRPPI3733IKTU43R}

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	2026-05-18T00:34:25.261950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e60898b40e3e517bd1bfef6854e9cdc6b79a586f5a215d80eaed09bf55e21e6

Aliases

arxiv: 1709.08579 · arxiv_version: 1709.08579v1 · doi: 10.48550/arxiv.1709.08579 · pith_short_12: FZQITC2A4PSR · pith_short_16: FZQITC2A4PSRPPI3 · pith_short_8: FZQITC2A

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/FZQITC2A4PSRPPI3733IKTU43R \
  | 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: 2e60898b40e3e517bd1bfef6854e9cdc6b79a586f5a215d80eaed09bf55e21e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42941e84d90cbc108dcf5f5bcd38858b5520e6cc1e0596ddf3114e063d85776f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-09-25T16:33:57Z",
    "title_canon_sha256": "10dde392232710029c9fba56b43d5a0adc0e2fd7a05f1f154e79f556a4250769"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08579",
    "kind": "arxiv",
    "version": 1
  }
}