Pith Number

pith:ZCCR5Q5T

pith:2015:ZCCR5Q5T2HEQIMB6BNFKA6FV2J

not attested not anchored not stored refs pending

Extremes and Limit Theorems for Difference of Chi-type processes

C. Ling, E. Hashorva, L. Ji, P. Albin

arxiv:1508.02758 v2 · 2015-08-11 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCCR5Q5T2HEQIMB6BNFKA6FV2J}

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	2026-05-18T01:11:03.472335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8851ec3b3d1c904303e0b4aa078b5d27b16cd923a384a66608c5beb572cb59c

Aliases

arxiv: 1508.02758 · arxiv_version: 1508.02758v2 · doi: 10.48550/arxiv.1508.02758 · pith_short_12: ZCCR5Q5T2HEQ · pith_short_16: ZCCR5Q5T2HEQIMB6 · pith_short_8: ZCCR5Q5T

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/ZCCR5Q5T2HEQIMB6BNFKA6FV2J \
  | 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: c8851ec3b3d1c904303e0b4aa078b5d27b16cd923a384a66608c5beb572cb59c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1165701ded0c8ef719df2cafb7dff9f991fb791b13ae55e4cce42befa780420",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-11T21:41:04Z",
    "title_canon_sha256": "a1c0c04a9510d3545c635f4d8a47f3911c46bc0ec1a4c2f2845767ef12093017"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02758",
    "kind": "arxiv",
    "version": 2
  }
}