Pith Number

pith:TKQVBR4N

pith:2017:TKQVBR4N5FEMEX7T3ZU3DVHLAI

not attested not anchored not stored refs pending

Factorizations in Modules and Splitting Multiplicatively Closed Subsets

Ashkan Nikseresht

arxiv:1705.09799 v1 · 2017-05-27 · 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{TKQVBR4N5FEMEX7T3ZU3DVHLAI}

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	2026-05-18T00:14:06.819286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aa150c78de948c25ff3de69b1d4eb020cc54201445bcd22472c99c4dd400c61

Aliases

arxiv: 1705.09799 · arxiv_version: 1705.09799v1 · doi: 10.48550/arxiv.1705.09799 · pith_short_12: TKQVBR4N5FEM · pith_short_16: TKQVBR4N5FEMEX7T · pith_short_8: TKQVBR4N

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/TKQVBR4N5FEMEX7T3ZU3DVHLAI \
  | 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: 9aa150c78de948c25ff3de69b1d4eb020cc54201445bcd22472c99c4dd400c61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eaa4fe1b980505474630cfe89d28ecfd92b31ebf8bbe1604e6469e075c90ff0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-05-27T09:55:43Z",
    "title_canon_sha256": "796287585b4fdd98204a2c62a9b777758b0f189dbbc0f7e13e1b29b8d9dbdde8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09799",
    "kind": "arxiv",
    "version": 1
  }
}