Pith Number

pith:YLOIDQJV

pith:2007:YLOIDQJVH5Y4PRFJGZSPBGR223

not attested not anchored not stored refs pending

Numerical radius and zero pattern of matrices

Vladimir Nikiforov

arxiv:math/0703177 v1 · 2007-03-06 · math.CO · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YLOIDQJVH5Y4PRFJGZSPBGR223}

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	2026-05-18T01:38:23.256883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2dc81c1353f71c7c4a93664f09a3ad6c3052833e12a8ade0152beefa863af65

Aliases

arxiv: math/0703177 · arxiv_version: math/0703177v1 · doi: 10.48550/arxiv.math/0703177 · pith_short_12: YLOIDQJVH5Y4 · pith_short_16: YLOIDQJVH5Y4PRFJ · pith_short_8: YLOIDQJV

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/YLOIDQJVH5Y4PRFJGZSPBGR223 \
  | 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: c2dc81c1353f71c7c4a93664f09a3ad6c3052833e12a8ade0152beefa863af65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "633f48f8a370e9a1a3d6ab65cf55b764a0a6955a67279007bfe47b514322c497",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-03-06T22:09:29Z",
    "title_canon_sha256": "c080c0c7fc07cb20dc5c72b1e7f7b9edc86f9c85c9ee94e57ce50be48adf8817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703177",
    "kind": "arxiv",
    "version": 1
  }
}