Pith Number

pith:TK6P3HBZ

pith:2023:TK6P3HBZMRKFQ5D2RCWQUREQG2

not attested not anchored not stored refs pending

Extremal behavior of reduced type of one dimensional rings

Sarasij Maitra, Vivek Mukundan

arxiv:2306.17069 v1 · 2023-06-29 · math.AC · 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{TK6P3HBZMRKFQ5D2RCWQUREQG2}

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	2026-07-05T06:26:13.149608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9abcfd9c39645458747a88ad0a4490368fc7d319b9653e7df097486e985c8d27

Aliases

arxiv: 2306.17069 · arxiv_version: 2306.17069v1 · doi: 10.48550/arxiv.2306.17069 · pith_short_12: TK6P3HBZMRKF · pith_short_16: TK6P3HBZMRKFQ5D2 · pith_short_8: TK6P3HBZ

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/TK6P3HBZMRKFQ5D2RCWQUREQG2 \
  | 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: 9abcfd9c39645458747a88ad0a4490368fc7d319b9653e7df097486e985c8d27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c745a7630f2a0e18b404f3a9736d561f5c62829a6107a996a22172e9d373e6e",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2023-06-29T16:16:54Z",
    "title_canon_sha256": "52f9b71ab4d209ce46a812fc2e2fa7bbc7498a95def163fc24207093198d6fc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.17069",
    "kind": "arxiv",
    "version": 1
  }
}