Pith Number

pith:VJCVVIRT

pith:2012:VJCVVIRTYLM4JAI3AMBZ7XC6CC

not attested not anchored not stored refs pending

Oracle inequality for a statistical Raus-Gfrerer type rule

Peter Mathe, Qinian Jin

arxiv:1206.3101 v1 · 2012-06-14 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJCVVIRTYLM4JAI3AMBZ7XC6CC}

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	2026-05-18T03:03:32.725547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa455aa233c2d9c4811b03039fdc5e109892c4d49df502755d360f9586b5b1e1

Aliases

arxiv: 1206.3101 · arxiv_version: 1206.3101v1 · doi: 10.48550/arxiv.1206.3101 · pith_short_12: VJCVVIRTYLM4 · pith_short_16: VJCVVIRTYLM4JAI3 · pith_short_8: VJCVVIRT

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/VJCVVIRTYLM4JAI3AMBZ7XC6CC \
  | 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: aa455aa233c2d9c4811b03039fdc5e109892c4d49df502755d360f9586b5b1e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ec1a21d282205cdda9d3f0633be545489de135010a9fab136885074017bf485",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-06-14T13:13:28Z",
    "title_canon_sha256": "24df396c80cb228c9b427d2c89f5828939f62d02ca733bfe2599d59f1e5b67e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3101",
    "kind": "arxiv",
    "version": 1
  }
}