Pith Number

pith:I6XFPUFD

pith:2016:I6XFPUFDCWT4ZKD7K5PMFZH7Z3

not attested not anchored not stored refs pending

On the numerical range of square matrices with coefficients in a degree 2 Galois field extension

E. Ballico

arxiv:1611.01915 v2 · 2016-11-07 · math.AC · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6XFPUFDCWT4ZKD7K5PMFZH7Z3}

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	2026-05-18T00:39:12.981782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47ae57d0a315a7cca87f575ec2e4ffcef2a822357447bed40bb5811e1e88c6fa

Aliases

arxiv: 1611.01915 · arxiv_version: 1611.01915v2 · doi: 10.48550/arxiv.1611.01915 · pith_short_12: I6XFPUFDCWT4 · pith_short_16: I6XFPUFDCWT4ZKD7 · pith_short_8: I6XFPUFD

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/I6XFPUFDCWT4ZKD7K5PMFZH7Z3 \
  | 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: 47ae57d0a315a7cca87f575ec2e4ffcef2a822357447bed40bb5811e1e88c6fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7e5f6be0a87e495da7ed78142179368024f928af8c90c83178f6a931483f8b0",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-11-07T06:58:45Z",
    "title_canon_sha256": "791ca505aee76cc7e53ca3c770ed1738a2e40395ba222ad51f143ca6ae2f670b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01915",
    "kind": "arxiv",
    "version": 2
  }
}