Pith Number

pith:4NNVIQIJ

pith:2016:4NNVIQIJ3VNDXSBFJ3RBPWYL4K

not attested not anchored not stored refs pending

On the number of Singular Vector Tuples of Hyper-Cubical Tensors

Doron Zeilberger, Shalosh B. Ekhad

arxiv:1605.00172 v1 · 2016-04-30 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NNVIQIJ3VNDXSBFJ3RBPWYL4K}

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	2026-05-18T01:15:56.521194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e35b544109dd5a3bc8254ee217db0be2a3bb8bce10027530e70745c85817f5e6

Aliases

arxiv: 1605.00172 · arxiv_version: 1605.00172v1 · doi: 10.48550/arxiv.1605.00172 · pith_short_12: 4NNVIQIJ3VND · pith_short_16: 4NNVIQIJ3VNDXSBF · pith_short_8: 4NNVIQIJ

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/4NNVIQIJ3VNDXSBFJ3RBPWYL4K \
  | 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: e35b544109dd5a3bc8254ee217db0be2a3bb8bce10027530e70745c85817f5e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "298c67ca62dca7e77e9d1d2d9f74ad3aa5719b3bb9dce26d801e2bab0340b649",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-30T22:04:05Z",
    "title_canon_sha256": "7744979973d085792c3066bf77c2dcdc3f99c0ffc043c029e042ebd8780bd4a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00172",
    "kind": "arxiv",
    "version": 1
  }
}