Pith Number

pith:UHTDTOUA

pith:2015:UHTDTOUAGL6YS4IWQZRIO4OTPW

not attested not anchored not stored refs pending

Deviation inequalities for martingales with applications to linear regressions and weak invariance principles

Xiequan Fan

arxiv:1504.03667 v1 · 2015-04-14 · 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{UHTDTOUAGL6YS4IWQZRIO4OTPW}

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	2026-05-18T00:38:46.847903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1e639ba8032fd89711686628771d37db5b8c28cff12a9875c47037f740daee2

Aliases

arxiv: 1504.03667 · arxiv_version: 1504.03667v1 · doi: 10.48550/arxiv.1504.03667 · pith_short_12: UHTDTOUAGL6Y · pith_short_16: UHTDTOUAGL6YS4IW · pith_short_8: UHTDTOUA

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/UHTDTOUAGL6YS4IWQZRIO4OTPW \
  | 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: a1e639ba8032fd89711686628771d37db5b8c28cff12a9875c47037f740daee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8caedfebb6acfd13d3ec35421524e3b0df317e51511f41846035e2a05e90ece7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-14T19:21:53Z",
    "title_canon_sha256": "fed61325fd058328b4f9ae62eeb61e7713cda79c29d9986ad633f9dcb1d232d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03667",
    "kind": "arxiv",
    "version": 1
  }
}