Pith Number

pith:Z4CYBU7U

pith:2010:Z4CYBU7UR4SDZGFX2BLHY4WHNT

not attested not anchored not stored refs pending

Tridiagonal matrices with nonnegative entries

Kazumasa Nomura, Paul Terwilliger

arxiv:1010.1305 v1 · 2010-10-07 · 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{Z4CYBU7UR4SDZGFX2BLHY4WHNT}

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	2026-05-18T04:39:41.452755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf0580d3f48f243c98b7d0567c72c76cd64aee1ff53073e711dcc3e5bbde63b8

Aliases

arxiv: 1010.1305 · arxiv_version: 1010.1305v1 · doi: 10.48550/arxiv.1010.1305 · pith_short_12: Z4CYBU7UR4SD · pith_short_16: Z4CYBU7UR4SDZGFX · pith_short_8: Z4CYBU7U

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/Z4CYBU7UR4SDZGFX2BLHY4WHNT \
  | 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: cf0580d3f48f243c98b7d0567c72c76cd64aee1ff53073e711dcc3e5bbde63b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c728f61777c05679af12be534fd5f602b287a98ef6a91e056ec5bada836c3f1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-07T00:20:44Z",
    "title_canon_sha256": "78a1f794aa8d4b7f9baea23b9b1ca6636bf9482a32b9434b17d1a5de310de8c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1305",
    "kind": "arxiv",
    "version": 1
  }
}