Pith Number

pith:3OINFFK6

pith:2020:3OINFFK6ZCPFD3OVDSIZJ2YANM

not attested not anchored not stored refs pending

Hierarchical Tensor Ring Completion

Abdul Ahad, Ce Zhu, Yipeng Liu, Zhen Long

arxiv:2004.11720 v1 · 2020-04-22 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3OINFFK6ZCPFD3OVDSIZJ2YANM}

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	2026-07-05T02:03:21.984960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db90d2955ec89e51edd51c9194eb006b16757a92a4f574a6a40cb98bad8fa63f

Aliases

arxiv: 2004.11720 · arxiv_version: 2004.11720v1 · doi: 10.48550/arxiv.2004.11720 · pith_short_12: 3OINFFK6ZCPF · pith_short_16: 3OINFFK6ZCPFD3OV · pith_short_8: 3OINFFK6

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/3OINFFK6ZCPFD3OVDSIZJ2YANM \
  | 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: db90d2955ec89e51edd51c9194eb006b16757a92a4f574a6a40cb98bad8fa63f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdafd4d2744cc4c1a4d50a7dcc04d698d4f6871bc3f3b8b953c004ad9d9a21f1",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-04-22T11:10:17Z",
    "title_canon_sha256": "76df9bb15ee33e5cba5116a5b775a5b5de360b8d3ae1d580753798d4ee7ec852"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.11720",
    "kind": "arxiv",
    "version": 1
  }
}