Pith Number

pith:TAYRYFTR

pith:2012:TAYRYFTRC7XC7FUKKISOASS4EI

not attested not anchored not stored refs pending

On the norm of inverses of confluent Vandermonde matrices

Dmitry Batenkov

arxiv:1212.0172 v2 · 2012-12-02 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TAYRYFTRC7XC7FUKKISOASS4EI}

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	2026-05-18T03:39:15.850281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98311c167117ee2f968a5224e04a5c221073106b83c15f06e4a5ab230997a5b6

Aliases

arxiv: 1212.0172 · arxiv_version: 1212.0172v2 · doi: 10.48550/arxiv.1212.0172 · pith_short_12: TAYRYFTRC7XC · pith_short_16: TAYRYFTRC7XC7FUK · pith_short_8: TAYRYFTR

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/TAYRYFTRC7XC7FUKKISOASS4EI \
  | 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: 98311c167117ee2f968a5224e04a5c221073106b83c15f06e4a5ab230997a5b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fccc368cf7e15588ebbda24ba5aae57a8b3fc1fc97383d042549cc6efeee8bb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-12-02T00:54:37Z",
    "title_canon_sha256": "157322d86a493a9a1236ea728d300612623ed614111f446c660fce452ce4716a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0172",
    "kind": "arxiv",
    "version": 2
  }
}