Pith Number

pith:5USMHCC4

pith:2017:5USMHCC4WUPCUGZYCXYEPM7UGT

not attested not anchored not stored refs pending

Sally modules of canonical ideals in dimension one and 2-AGL rings

Naoyuki Matsuoka, Shinya Kumashiro, Shiro Goto, Tran Do Minh Chau

arxiv:1704.00997 v1 · 2017-04-04 · 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{5USMHCC4WUPCUGZYCXYEPM7UGT}

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	2026-05-18T00:47:16.502953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed24c3885cb51e2a1b3815f047b3f434e0441377334b67ae53649a75237769bd

Aliases

arxiv: 1704.00997 · arxiv_version: 1704.00997v1 · doi: 10.48550/arxiv.1704.00997 · pith_short_12: 5USMHCC4WUPC · pith_short_16: 5USMHCC4WUPCUGZY · pith_short_8: 5USMHCC4

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/5USMHCC4WUPCUGZYCXYEPM7UGT \
  | 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: ed24c3885cb51e2a1b3815f047b3f434e0441377334b67ae53649a75237769bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "668699f8bbaae7a21b72e68374fd0ddfcef96c5f65448ac696c384a4492b9eec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-04-04T13:16:37Z",
    "title_canon_sha256": "99d6fb0fd022f8805bce2f8ff7ed426777202f96026a84bf1327ef9d4557ea7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00997",
    "kind": "arxiv",
    "version": 1
  }
}