Pith Number

pith:GBVGUN36

pith:2012:GBVGUN36G5UHVJNGSYLXPZ2W7G

not attested not anchored not stored refs pending

A monotonicity property of variances

J. M. Aldaz

arxiv:1210.4417 v1 · 2012-10-16 · math.PR · 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{GBVGUN36G5UHVJNGSYLXPZ2W7G}

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	2026-05-18T03:43:06.042547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

306a6a377e37687aa5a6961777e756f98e20236f2337de48695d5c3add2f8cca

Aliases

arxiv: 1210.4417 · arxiv_version: 1210.4417v1 · doi: 10.48550/arxiv.1210.4417 · pith_short_12: GBVGUN36G5UH · pith_short_16: GBVGUN36G5UHVJNG · pith_short_8: GBVGUN36

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/GBVGUN36G5UHVJNGSYLXPZ2W7G \
  | 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: 306a6a377e37687aa5a6961777e756f98e20236f2337de48695d5c3add2f8cca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "402d898fa4309b403cca839aaaedc07aa82fc3c313708e9083066cafe9a9cccd",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-16T14:08:55Z",
    "title_canon_sha256": "903a096b3052dd0da6bb14e93e68437733ef8e37c6467612cbfbb182d3af8fa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4417",
    "kind": "arxiv",
    "version": 1
  }
}