Pith Number

pith:OJJNCNAO

pith:2011:OJJNCNAO2JCLUR2A7KLG6TRD4O

not attested not anchored not stored refs pending

Distances and Riemannian metrics for multivariate spectral densities

Lipeng Ning, Tryphon T. Georgiou, Xianhua Jiang

arxiv:1107.1345 v1 · 2011-07-07 · math.OC · cs.SY · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OJJNCNAO2JCLUR2A7KLG6TRD4O}

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	2026-05-18T00:57:57.347179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7252d1340ed244ba4740fa966f4e23e3af3afc9767077872332656629c8f9de9

Aliases

arxiv: 1107.1345 · arxiv_version: 1107.1345v1 · doi: 10.48550/arxiv.1107.1345 · pith_short_12: OJJNCNAO2JCL · pith_short_16: OJJNCNAO2JCLUR2A · pith_short_8: OJJNCNAO

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/OJJNCNAO2JCLUR2A7KLG6TRD4O \
  | 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: 7252d1340ed244ba4740fa966f4e23e3af3afc9767077872332656629c8f9de9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fba4f96fe0822da22aa28869d41aa19ca6be63420ebfd07809e004bb4808ea8",
    "cross_cats_sorted": [
      "cs.SY",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-07-07T11:12:28Z",
    "title_canon_sha256": "0389168966691aa7162e1b6e337bf78bae5e93cce44709c0e44a0140cfff48cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1345",
    "kind": "arxiv",
    "version": 1
  }
}