Pith Number

pith:KJTR67M5

pith:2015:KJTR67M5KRKOPNDVEZS7AVDWWI

not attested not anchored not stored refs pending

Perturbation of linear forms of singular vectors under Gaussian noise

Dong Xia, Vladimir Koltchinskii

arxiv:1506.02764 v1 · 2015-06-09 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJTR67M5KRKOPNDVEZS7AVDWWI}

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	2026-05-18T01:55:41.019939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52671f7d9d5454e7b4752665f05476b21cb69053df7504df3b95378cbf2b35ae

Aliases

arxiv: 1506.02764 · arxiv_version: 1506.02764v1 · doi: 10.48550/arxiv.1506.02764 · pith_short_12: KJTR67M5KRKO · pith_short_16: KJTR67M5KRKOPNDV · pith_short_8: KJTR67M5

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/KJTR67M5KRKOPNDVEZS7AVDWWI \
  | 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: 52671f7d9d5454e7b4752665f05476b21cb69053df7504df3b95378cbf2b35ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05e7ceb5f3787b662cd55274c8cf09b46f95c5d7d0804cfdd7a5ee3d0754fe74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-09T03:26:27Z",
    "title_canon_sha256": "4cac0bb0f97c60f9beb6ed61f9cf726804559b3e38a24b9df13c2871f0304dfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02764",
    "kind": "arxiv",
    "version": 1
  }
}