Pith Number

pith:TFG2DL4Z

pith:2015:TFG2DL4Z4DSU4LIFPBSZBOMI52

not attested not anchored not stored refs pending

A continuous analogue of the tensor-train decomposition

Alex A. Gorodetsky, Sertac Karaman, Youssef M. Marzouk

arxiv:1510.09088 v3 · 2015-10-30 · math.NA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TFG2DL4Z4DSU4LIFPBSZBOMI52}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:58:31.441808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

994da1af99e0e54e2d05786590b988ee8e61f5209fc7e799ce96aae2181939cc

Aliases

arxiv: 1510.09088 · arxiv_version: 1510.09088v3 · doi: 10.48550/arxiv.1510.09088 · pith_short_12: TFG2DL4Z4DSU · pith_short_16: TFG2DL4Z4DSU4LIF · pith_short_8: TFG2DL4Z

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/TFG2DL4Z4DSU4LIFPBSZBOMI52 \
  | 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: 994da1af99e0e54e2d05786590b988ee8e61f5209fc7e799ce96aae2181939cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "921c7555c657c18fa49c7d27dfa7d9b94ed3666a183540569186ea98674b350e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-10-30T13:43:49Z",
    "title_canon_sha256": "537e2f242e7068c2b708ec81a2d38ce070c0becb912016ecbfcdea74631971a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.09088",
    "kind": "arxiv",
    "version": 3
  }
}