Pith Number

pith:NXJTL43R

pith:2015:NXJTL43RGEFUUVXVTQPZWOBWN5

not attested not anchored not stored refs pending

Sharp Computational-Statistical Phase Transitions via Oracle Computational Model

Han Liu, Quanquan Gu, Zhaoran Wang

arxiv:1512.08861 v1 · 2015-12-30 · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NXJTL43RGEFUUVXVTQPZWOBWN5}

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.

Cited by

2 papers in Pith

High-Dimensional Statistics: Reflections on Progress and Open Problems

Receipt and verification

First computed	2026-05-18T01:23:34.661588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dd335f371310b4a56f59c1f9b38366f4a69db49edd97a11ff792329440a2533

Aliases

arxiv: 1512.08861 · arxiv_version: 1512.08861v1 · doi: 10.48550/arxiv.1512.08861 · pith_short_12: NXJTL43RGEFU · pith_short_16: NXJTL43RGEFUUVXV · pith_short_8: NXJTL43R

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/NXJTL43RGEFUUVXVTQPZWOBWN5 \
  | 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: 6dd335f371310b4a56f59c1f9b38366f4a69db49edd97a11ff792329440a2533

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f67b063d8232c99a5abb827890db6888294ebefd67a06112bef897d9cb03423",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2015-12-30T06:16:46Z",
    "title_canon_sha256": "8d76317ba91a749136f1b740bb4b745531da5e0bee2257e8d4ee1b6f044479a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08861",
    "kind": "arxiv",
    "version": 1
  }
}