Pith Number

pith:IVL2OUXC

pith:2013:IVL2OUXCOVKWWQC65XH7PCE6EV

not attested not anchored not stored refs pending

On subdirect factors of a projective module and applications to system theory

Mohamed Barakat

arxiv:1305.0058 v2 · 2013-05-01 · math.KT · math.AC · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IVL2OUXCOVKWWQC65XH7PCE6EV}

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	2026-05-18T00:55:58.875914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4557a752e275556b405eedcff7889e256193b4a29dd7aba24096b3a4ce3aa3be

Aliases

arxiv: 1305.0058 · arxiv_version: 1305.0058v2 · doi: 10.48550/arxiv.1305.0058 · pith_short_12: IVL2OUXCOVKW · pith_short_16: IVL2OUXCOVKWWQC6 · pith_short_8: IVL2OUXC

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/IVL2OUXCOVKWWQC65XH7PCE6EV \
  | 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: 4557a752e275556b405eedcff7889e256193b4a29dd7aba24096b3a4ce3aa3be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44aa15d9e996c2f668e4d73428937f4363a1f871397d735a9f9173cf40d2586a",
    "cross_cats_sorted": [
      "math.AC",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-05-01T00:06:50Z",
    "title_canon_sha256": "181757f723866b3d9d8c0ba31e9945663522ff1bf5533680cd3c163ba336d98c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0058",
    "kind": "arxiv",
    "version": 2
  }
}