Pith Number

pith:BRCDIBDT

pith:2017:BRCDIBDTR4EKYSHPP66IFQT3TG

not attested not anchored not stored refs pending

Algebraic condition for the singularity of certain T\"oplitz pencils

Wiland Schmale

arxiv:1706.07431 v1 · 2017-06-22 · 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{BRCDIBDTR4EKYSHPP66IFQT3TG}

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	2026-05-18T00:41:49.052035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c443404738f08ac48ef7fbc82c27b9989615cc3e185abcf4159588901fb8fe0

Aliases

arxiv: 1706.07431 · arxiv_version: 1706.07431v1 · doi: 10.48550/arxiv.1706.07431 · pith_short_12: BRCDIBDTR4EK · pith_short_16: BRCDIBDTR4EKYSHP · pith_short_8: BRCDIBDT

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/BRCDIBDTR4EKYSHPP66IFQT3TG \
  | 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: 0c443404738f08ac48ef7fbc82c27b9989615cc3e185abcf4159588901fb8fe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f302410494581f3da3c5c4aa42153d1ec81c48913a31bb843c4591d0a02c023",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-22T09:22:02Z",
    "title_canon_sha256": "63c55e4486364b1d0d871a8d0af21b8c705851ac017561a4d710a7e5f56a28a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07431",
    "kind": "arxiv",
    "version": 1
  }
}