Pith Number

pith:QUAUCLI2

pith:2013:QUAUCLI2M7ILUCYP3Y627J2E5M

not attested not anchored not stored refs pending

Criteria for Hankel operators to be sign-definite

D. R. Yafaev

arxiv:1303.4040 v1 · 2013-03-17 · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QUAUCLI2M7ILUCYP3Y627J2E5M}

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	2026-05-18T01:22:25.588390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8501412d1a67d0ba0b0fde3dafa744eb00bdb546db657fd2fc6717e1c6cdf73a

Aliases

arxiv: 1303.4040 · arxiv_version: 1303.4040v1 · doi: 10.48550/arxiv.1303.4040 · pith_short_12: QUAUCLI2M7IL · pith_short_16: QUAUCLI2M7ILUCYP · pith_short_8: QUAUCLI2

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/QUAUCLI2M7ILUCYP3Y627J2E5M \
  | 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: 8501412d1a67d0ba0b0fde3dafa744eb00bdb546db657fd2fc6717e1c6cdf73a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e20e6c922a375c5df3e09a19b7c2a55cb0cbecf5bfb926b29bafec4329deb3c",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-17T07:48:36Z",
    "title_canon_sha256": "bd9495ec761c9071599155a051832580b86b592a17eb169dfaf16e96f36db959"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4040",
    "kind": "arxiv",
    "version": 1
  }
}