Pith Number

pith:PBWLPOCM

pith:2013:PBWLPOCMNESADZJFPZ66CAAGLO

not attested not anchored not stored refs pending

On the maximum rank of Toeplitz block matrices of blocks of a given pattern

Gunther Rei{\ss}ig

arxiv:1305.4277 v1 · 2013-05-18 · math.CO · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBWLPOCMNESADZJFPZ66CAAGLO}

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	2026-05-18T03:25:24.304420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

786cb7b84c692401e5257e7de100065ba7a5d229749d75238d89efda5840bada

Aliases

arxiv: 1305.4277 · arxiv_version: 1305.4277v1 · doi: 10.48550/arxiv.1305.4277 · pith_short_12: PBWLPOCMNESA · pith_short_16: PBWLPOCMNESADZJF · pith_short_8: PBWLPOCM

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/PBWLPOCMNESADZJFPZ66CAAGLO \
  | 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: 786cb7b84c692401e5257e7de100065ba7a5d229749d75238d89efda5840bada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "799e4d9bbd465a10f9e37b0ae38e76ab4c795667eb9790fce6ffa36fb645e60a",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-18T16:11:52Z",
    "title_canon_sha256": "97ed155bbed9e1a0f59605919b81c91c40c3a357b1fbba1d51c54408fdfe1a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4277",
    "kind": "arxiv",
    "version": 1
  }
}