Pith Number

pith:ECYKZDVI

pith:2018:ECYKZDVICEJE6RLVTKOYDGRSDP

not attested not anchored not stored refs pending

Realization of tensor-product and of tensor-Factorization of rational functions

Daniel Alpay, Izchak Lewkowicz

arxiv:1812.01437 v1 · 2018-11-30 · math.OC · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECYKZDVICEJE6RLVTKOYDGRSDP}

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	2026-05-17T23:59:12.448554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20b0ac8ea811124f45759a9d819a321be1a0e3dcf9136146df32f999d05d78fa

Aliases

arxiv: 1812.01437 · arxiv_version: 1812.01437v1 · doi: 10.48550/arxiv.1812.01437 · pith_short_12: ECYKZDVICEJE · pith_short_16: ECYKZDVICEJE6RLV · pith_short_8: ECYKZDVI

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/ECYKZDVICEJE6RLVTKOYDGRSDP \
  | 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: 20b0ac8ea811124f45759a9d819a321be1a0e3dcf9136146df32f999d05d78fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66ab29e0485f3a42a4352be9245cf7aea266321aee447212bd0c55bdbfe6596d",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-11-30T19:41:56Z",
    "title_canon_sha256": "b0fabc411103b5201ce3a43476fa405073b18f781513024f7f32e686fe4e7675"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01437",
    "kind": "arxiv",
    "version": 1
  }
}