Pith Number

pith:FT3JPU4Y

pith:2018:FT3JPU4Y2NQJ7SR6UWCEFBFGTR

not attested not anchored not stored refs pending

Positivity properties of the matrix $\left[(i+j)^{i+j}\right]$

Rajendra Bhatia, Tanvi Jain

arxiv:1803.04174 v1 · 2018-03-12 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FT3JPU4Y2NQJ7SR6UWCEFBFGTR}

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	2026-05-18T00:21:32.422507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cf697d398d3609fca3ea5844284a69c4d8ceb693be80db6a6cd17136b58db6b

Aliases

arxiv: 1803.04174 · arxiv_version: 1803.04174v1 · doi: 10.48550/arxiv.1803.04174 · pith_short_12: FT3JPU4Y2NQJ · pith_short_16: FT3JPU4Y2NQJ7SR6 · pith_short_8: FT3JPU4Y

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/FT3JPU4Y2NQJ7SR6UWCEFBFGTR \
  | 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: 2cf697d398d3609fca3ea5844284a69c4d8ceb693be80db6a6cd17136b58db6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa8c1a249415074261855003570e1b6d3b306ee45a70d22f1dff814104a385de",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-03-12T10:35:36Z",
    "title_canon_sha256": "f84a23594c2c35f61c92ec860f6797d1b1d549437999f0c53259a901bc874b46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04174",
    "kind": "arxiv",
    "version": 1
  }
}