Pith Number

pith:2YFPQEHU

pith:2016:2YFPQEHUYG7PTUPUDDHLACCHS3

not attested not anchored not stored refs pending

Linear response and moderate deviations: hierarchical approach. I

Boris Tsirelson

arxiv:1612.08396 v1 · 2016-12-26 · 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{2YFPQEHUYG7PTUPUDDHLACCHS3}

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	2026-05-18T00:53:53.149475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d60af810f4c1bef9d1f418ceb0084796e8c046fdf77fcb498687215438af3523

Aliases

arxiv: 1612.08396 · arxiv_version: 1612.08396v1 · doi: 10.48550/arxiv.1612.08396 · pith_short_12: 2YFPQEHUYG7P · pith_short_16: 2YFPQEHUYG7PTUPU · pith_short_8: 2YFPQEHU

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/2YFPQEHUYG7PTUPUDDHLACCHS3 \
  | 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: d60af810f4c1bef9d1f418ceb0084796e8c046fdf77fcb498687215438af3523

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bf9824f87a706fa05254522ffd8efd7578a0cc83ad39f180d153080a2be20e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-26T14:55:50Z",
    "title_canon_sha256": "dea634f5511d52314e4b787ed2a3ee5456f7d633bb9eca7dc30e4499cee3c77a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08396",
    "kind": "arxiv",
    "version": 1
  }
}