Pith Number

pith:BG76QYSW

pith:2016:BG76QYSW6NVEXSLGU4BGK3WYG2

not attested not anchored not stored refs pending

The Minc-type bound and the eigenvalue inclusion sets of the general product of tensors

Changjiang Bu, Chunli Deng, Hongmei Yao

arxiv:1605.08687 v1 · 2016-05-27 · math.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{BG76QYSW6NVEXSLGU4BGK3WYG2}

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	2026-05-18T01:13:29.311893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09bfe86256f36a4bc966a702656ed836bfc1dbb02c04145a63e11fb5af41d92c

Aliases

arxiv: 1605.08687 · arxiv_version: 1605.08687v1 · doi: 10.48550/arxiv.1605.08687 · pith_short_12: BG76QYSW6NVE · pith_short_16: BG76QYSW6NVEXSLG · pith_short_8: BG76QYSW

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/BG76QYSW6NVEXSLGU4BGK3WYG2 \
  | 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: 09bfe86256f36a4bc966a702656ed836bfc1dbb02c04145a63e11fb5af41d92c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fc12d5cf8856922c4789071e644fc07dacd6d53e75e3c104c41355e67b39da8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-05-27T15:28:02Z",
    "title_canon_sha256": "d1f403f496a8b0bce45f79457f95e56382d19deaddcbd6c74a2d49daa8f99205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08687",
    "kind": "arxiv",
    "version": 1
  }
}