Pith Number

pith:6VFGXCZ4

pith:2015:6VFGXCZ4PJ7VHP3BBOYY7BN2PE

not attested not anchored not stored refs pending

Classical 2-absorbing submodules of modules over commutative rings

Hojjat Mostafanasab, Kursat Hakan Oral, Unsal Tekir

arxiv:1505.06564 v1 · 2015-05-25 · 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{6VFGXCZ4PJ7VHP3BBOYY7BN2PE}

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	2026-05-18T02:03:44.592834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f54a6b8b3c7a7f53bf610bb18f85ba7923146a82b9eaddc92a8e3bf5830894f9

Aliases

arxiv: 1505.06564 · arxiv_version: 1505.06564v1 · doi: 10.48550/arxiv.1505.06564 · pith_short_12: 6VFGXCZ4PJ7V · pith_short_16: 6VFGXCZ4PJ7VHP3B · pith_short_8: 6VFGXCZ4

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/6VFGXCZ4PJ7VHP3BBOYY7BN2PE \
  | 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: f54a6b8b3c7a7f53bf610bb18f85ba7923146a82b9eaddc92a8e3bf5830894f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c22312584aa99527a606a2b7b5cfcebe4e91bf44a68125a49b81d59255902baf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-05-25T08:33:49Z",
    "title_canon_sha256": "f8826ef90d04d7f6bdc51828e8c5dfce19bfe1faf6e54c404b0d15a0483936a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06564",
    "kind": "arxiv",
    "version": 1
  }
}