Pith Number

pith:UB6KNTO7

pith:2012:UB6KNTO7PAE5ZNGDDROT7M2FKA

not attested not anchored not stored refs pending

A note on the bivariate distribution representation of two perfectly correlated random variables by Dirac's $\delta$-function

Andr\'es Alay\'on Glazunov, Jie Zhang

arxiv:1205.0933 v1 · 2012-05-04 · cs.NI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UB6KNTO7PAE5ZNGDDROT7M2FKA}

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	2026-05-18T03:56:23.524185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a07ca6cddf7809dcb4c31c5d3fb345503c6ebe3c97015e0106ae7ce14858dadf

Aliases

arxiv: 1205.0933 · arxiv_version: 1205.0933v1 · doi: 10.48550/arxiv.1205.0933 · pith_short_12: UB6KNTO7PAE5 · pith_short_16: UB6KNTO7PAE5ZNGD · pith_short_8: UB6KNTO7

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/UB6KNTO7PAE5ZNGDDROT7M2FKA \
  | 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: a07ca6cddf7809dcb4c31c5d3fb345503c6ebe3c97015e0106ae7ce14858dadf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50ed0a8bc5303db4a0c4b7f6744905dfacc7a17a14eb37140da175e57051f7fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2012-05-04T12:26:31Z",
    "title_canon_sha256": "fcd735b0385a94906748fb5b8d81d3ab09ac5c2a0c01daa2abbfd4d824919f40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0933",
    "kind": "arxiv",
    "version": 1
  }
}