Pith Number

pith:TGP3EINF

pith:2016:TGP3EINFNGGK6UUGXXL6SLCEAW

not attested not anchored not stored refs pending

The annihilating-submodule graph of modules over commutative rings

Habibollah Ansari-Toroghy, Shokoufeh Habibi

arxiv:1601.00916 v1 · 2016-01-05 · 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{TGP3EINFNGGK6UUGXXL6SLCEAW}

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	2026-05-18T01:23:21.336912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

999fb221a5698caf5286bdd7e92c4405818808abf71f457089933f007577295d

Aliases

arxiv: 1601.00916 · arxiv_version: 1601.00916v1 · doi: 10.48550/arxiv.1601.00916 · pith_short_12: TGP3EINFNGGK · pith_short_16: TGP3EINFNGGK6UUG · pith_short_8: TGP3EINF

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/TGP3EINFNGGK6UUGXXL6SLCEAW \
  | 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: 999fb221a5698caf5286bdd7e92c4405818808abf71f457089933f007577295d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbb077fe23174cb7baa37c1c91eed1a1c5f0188b00908ef5f3f6f1a69977143a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-01-05T17:40:29Z",
    "title_canon_sha256": "ae345fd0382ac66207e04b28319bc0ae16dbb102461bb75fd8fabc47e402f85e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00916",
    "kind": "arxiv",
    "version": 1
  }
}