Pith Number

pith:WGW7FPHF

pith:2010:WGW7FPHFZS6P52GFOKYBAF3WAU

not attested not anchored not stored refs pending

On the t-Term Rank of a Matrix

Kathleen P. Kiernan, Michael W. Schroeder, Richard A. Brualdi, Seth A. Meyer

arxiv:1011.5870 v1 · 2010-11-26 · 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{WGW7FPHFZS6P52GFOKYBAF3WAU}

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	2026-05-18T04:34:38.366418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1adf2bce5ccbcfee8c572b0101776050e9c5cd50a91c55f4c50030c1bfd8418

Aliases

arxiv: 1011.5870 · arxiv_version: 1011.5870v1 · doi: 10.48550/arxiv.1011.5870 · pith_short_12: WGW7FPHFZS6P · pith_short_16: WGW7FPHFZS6P52GF · pith_short_8: WGW7FPHF

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/WGW7FPHFZS6P52GFOKYBAF3WAU \
  | 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: b1adf2bce5ccbcfee8c572b0101776050e9c5cd50a91c55f4c50030c1bfd8418

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aca68f596a57a3183e21ba0252b986f6a4fb5f89cd262b4f93ef13088dbc7748",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-26T20:34:29Z",
    "title_canon_sha256": "87fb2554f2b99e4ab5749d92b1d4a5bc9c80ac92eb7a829c926b271d9d5f9739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5870",
    "kind": "arxiv",
    "version": 1
  }
}