Pith Number

pith:PFVW62WX

pith:2016:PFVW62WXG5YRE5OI7DMCO66XLS

not attested not anchored not stored refs pending

The annihilating-submodule graph of modules over commutative rings II

Habibollah Ansari-Toroghy, Shokoufeh Habibi

arxiv:1601.06367 v1 · 2016-01-24 · 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{PFVW62WXG5YRE5OI7DMCO66XLS}

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	2026-05-18T01:22:04.620477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

796b6f6ad737711275c8f8d8277bd75c8a61f62b2ace0bba6794708a357d9d8c

Aliases

arxiv: 1601.06367 · arxiv_version: 1601.06367v1 · doi: 10.48550/arxiv.1601.06367 · pith_short_12: PFVW62WXG5YR · pith_short_16: PFVW62WXG5YRE5OI · pith_short_8: PFVW62WX

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/PFVW62WXG5YRE5OI7DMCO66XLS \
  | 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: 796b6f6ad737711275c8f8d8277bd75c8a61f62b2ace0bba6794708a357d9d8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df2830aa03335a403840728a9af120f2f46f9f2ce609039ec459a9a806beca79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-01-24T11:24:34Z",
    "title_canon_sha256": "5cd5c0644abdb3f13764fbaa8a0a1fcda62d298aae2d620495a32fa8e7ad5168"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06367",
    "kind": "arxiv",
    "version": 1
  }
}