Pith Number

pith:NGAFMPI5

pith:2016:NGAFMPI5GNU4ASHC5WOLD2W37Z

not attested not anchored not stored refs pending

Note on linearly equivalent ideal topologies over Noetherian modules

Adeleh Azari, Reza Naghipour, Simin Mollamahmoudi

arxiv:1607.07634 v1 · 2016-07-26 · 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{NGAFMPI5GNU4ASHC5WOLD2W37Z}

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	2026-05-18T01:10:28.108708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6980563d1d3369c048e2ed9cb1eadbfe56786389788208cef73820b63cf9469b

Aliases

arxiv: 1607.07634 · arxiv_version: 1607.07634v1 · doi: 10.48550/arxiv.1607.07634 · pith_short_12: NGAFMPI5GNU4 · pith_short_16: NGAFMPI5GNU4ASHC · pith_short_8: NGAFMPI5

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/NGAFMPI5GNU4ASHC5WOLD2W37Z \
  | 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: 6980563d1d3369c048e2ed9cb1eadbfe56786389788208cef73820b63cf9469b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "252f4f6e1a5d55274e00f1d10647e509dcea97c267acede27304cfeb4da7c316",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-07-26T10:43:32Z",
    "title_canon_sha256": "e8caf1e9255b3edc14e2ca257eff87f7de8dcea73c1e49f3615cafb13da8018d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07634",
    "kind": "arxiv",
    "version": 1
  }
}