Pith Number

pith:4LLIH5WI

pith:2023:4LLIH5WIVYMBYAO5TEXSXYRHNB

not attested not anchored not stored refs pending

Estimating the matrix $p \rightarrow q$ norm

Dominique Maldague, John Urschel, Larry Guth

arxiv:2311.07677 v1 · 2023-11-13 · cs.DS · 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{4LLIH5WIVYMBYAO5TEXSXYRHNB}

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	2026-07-05T07:12:22.243544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2d683f6c8ae181c01dd992f2be2276862ea4643aaebdd1ebb3c46a39cfb0410

Aliases

arxiv: 2311.07677 · arxiv_version: 2311.07677v1 · doi: 10.48550/arxiv.2311.07677 · pith_short_12: 4LLIH5WIVYMB · pith_short_16: 4LLIH5WIVYMBYAO5 · pith_short_8: 4LLIH5WI

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/4LLIH5WIVYMBYAO5TEXSXYRHNB \
  | 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: e2d683f6c8ae181c01dd992f2be2276862ea4643aaebdd1ebb3c46a39cfb0410

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd3b13823bef74c9bc2e692ffa5b127575c9686639940ca488c42b33c5c4f3c0",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2023-11-13T19:01:41Z",
    "title_canon_sha256": "b83c3135c8107b1bbf66646e6706e3c435f8bf6def7505048ff9fe80bbb19b2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.07677",
    "kind": "arxiv",
    "version": 1
  }
}