Pith Number

pith:YDHQWD4V

pith:2019:YDHQWD4VELIMLL45HBCBSMDNQA

not attested not anchored not stored refs pending

Cohen-Macaulay local rings with $e_1 = e + 2$

Tony J. Puthenpurakal

arxiv:1907.11502 v1 · 2019-07-26 · 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{YDHQWD4VELIMLL45HBCBSMDNQA}

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	2026-05-17T23:39:28.919363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0cf0b0f9522d0c5af9d384419306d800310b6f4dad4902ef1fd957e71c66951

Aliases

arxiv: 1907.11502 · arxiv_version: 1907.11502v1 · doi: 10.48550/arxiv.1907.11502 · pith_short_12: YDHQWD4VELIM · pith_short_16: YDHQWD4VELIMLL45 · pith_short_8: YDHQWD4V

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/YDHQWD4VELIMLL45HBCBSMDNQA \
  | 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: c0cf0b0f9522d0c5af9d384419306d800310b6f4dad4902ef1fd957e71c66951

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6933ac159157402378c007c6b6de13b34fe44158176a97e9406217e3a6c1b2e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-07-26T11:59:27Z",
    "title_canon_sha256": "da17625595ab824e53ee36bb03c64e589a1573ac4a70ec82d6a87d9ea77b95e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11502",
    "kind": "arxiv",
    "version": 1
  }
}