Pith Number

pith:OCTC3GCI

pith:2016:OCTC3GCIPRXLW4PYX4HVJECIEO

not attested not anchored not stored refs pending

On Certain Positive Semidefinite Matrices of Special Functions

Ruiming Zhang

arxiv:1603.05512 v2 · 2016-03-15 · 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{OCTC3GCIPRXLW4PYX4HVJECIEO}

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	2026-05-18T01:18:52.066139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70a62d98487c6ebb71f8bf0f54904823bdd068e003c6478ab1034f07f79b27ab

Aliases

arxiv: 1603.05512 · arxiv_version: 1603.05512v2 · doi: 10.48550/arxiv.1603.05512 · pith_short_12: OCTC3GCIPRXL · pith_short_16: OCTC3GCIPRXLW4PY · pith_short_8: OCTC3GCI

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/OCTC3GCIPRXLW4PYX4HVJECIEO \
  | 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: 70a62d98487c6ebb71f8bf0f54904823bdd068e003c6478ab1034f07f79b27ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3f12d44d2a2791c2a1c2593ba8d6a6f60daaee6993d26a47d253ee2ae25ec58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-03-15T02:32:28Z",
    "title_canon_sha256": "04a11d8aba3be5f35305a2a290cbeb91c0cacf27d076c071e02cea8bd7349782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05512",
    "kind": "arxiv",
    "version": 2
  }
}