Pith Number

pith:TLD7TH22

pith:2026:TLD7TH22F3YJCSLEVC6ZKGMDD5

not attested not anchored not stored refs pending

Parallelized contraction of tensor trains or matrix product operators

Hiroshi Shinaoka, Jan von Delft, Marc K. Ritter, Simone Foder\`a

arxiv:2606.23274 v1 · 2026-06-22 · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLD7TH22F3YJCSLEVC6ZKGMDD5}

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	2026-06-23T03:14:15.483980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ac7f99f5a2ef0914964a8bd9519831f59f246825732a4e27efeb961e9e460da

Aliases

arxiv: 2606.23274 · arxiv_version: 2606.23274v1 · doi: 10.48550/arxiv.2606.23274 · pith_short_12: TLD7TH22F3YJ · pith_short_16: TLD7TH22F3YJCSLE · pith_short_8: TLD7TH22

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/TLD7TH22F3YJCSLEVC6ZKGMDD5 \
  | 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: 9ac7f99f5a2ef0914964a8bd9519831f59f246825732a4e27efeb961e9e460da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f13b5bf3ebf536aa62f8da17ef6575bd6c9eb26e3f614027448e0f570494952c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2026-06-22T12:52:56Z",
    "title_canon_sha256": "59b025cab52ba583e66c44e7ecc98c4b7f845d96804fcd5d82c8a9b966505fc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23274",
    "kind": "arxiv",
    "version": 1
  }
}