Pith Number

pith:7R4SPVV3

pith:2012:7R4SPVV3NEIAH75O6TKJSXYHZ5

not attested not anchored not stored refs pending

Mixed principal eigenvalues in dimension one

Ling-Di Wang, Mu-Fa chen, Yu-Hui Zhang

arxiv:1206.5069 v1 · 2012-06-22 · math.PR · math.CA · 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{7R4SPVV3NEIAH75O6TKJSXYHZ5}

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	2026-05-18T03:52:52.444347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc7927d6bb691003ffaef4d4995f07cf5d8ba0105a96ad5db93ffb1c138baa08

Aliases

arxiv: 1206.5069 · arxiv_version: 1206.5069v1 · doi: 10.48550/arxiv.1206.5069 · pith_short_12: 7R4SPVV3NEIA · pith_short_16: 7R4SPVV3NEIAH75O · pith_short_8: 7R4SPVV3

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/7R4SPVV3NEIAH75O6TKJSXYHZ5 \
  | 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: fc7927d6bb691003ffaef4d4995f07cf5d8ba0105a96ad5db93ffb1c138baa08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30f71e2886b97908a9f9c335b90e1f3c177923dd2471bf15e639406fb86891c0",
    "cross_cats_sorted": [
      "math.CA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-22T07:11:09Z",
    "title_canon_sha256": "1a9dfaaa6a5799a40e6d26c926f197a2266721467d9e76bc3dc7a24f0c40d840"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5069",
    "kind": "arxiv",
    "version": 1
  }
}