Pith Number

pith:CDRADXBV

pith:2019:CDRADXBVZDG5LV52RHLQJA6NSK

not attested not anchored not stored refs pending

On the index of reducibility of parameter ideals: The stable and limit values

Nguyen Tu Cuong, Pham Hung Quy

arxiv:1903.01315 v1 · 2019-03-04 · 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{CDRADXBVZDG5LV52RHLQJA6NSK}

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	2026-05-17T23:52:09.106946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10e201dc35c8cdd5d7ba89d70483cd92a2f8654a88c920cd1037c15494482319

Aliases

arxiv: 1903.01315 · arxiv_version: 1903.01315v1 · doi: 10.48550/arxiv.1903.01315 · pith_short_12: CDRADXBVZDG5 · pith_short_16: CDRADXBVZDG5LV52 · pith_short_8: CDRADXBV

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/CDRADXBVZDG5LV52RHLQJA6NSK \
  | 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: 10e201dc35c8cdd5d7ba89d70483cd92a2f8654a88c920cd1037c15494482319

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e2bae72f6a748ec22567a5dbb348b9c27ecbbe0fc806e88a1eb0eb2348107ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-03-04T15:48:23Z",
    "title_canon_sha256": "2138fa658904abef782e9bf139e9149361a50d8f0e9484f761233d17dae718b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.01315",
    "kind": "arxiv",
    "version": 1
  }
}