Pith Number

pith:5KTRO6BP

pith:2015:5KTRO6BPN5T4TFSHSPF7I2Y37U

not attested not anchored not stored refs pending

Precise local large deviations for random sums with applications

Fengyang Cheng, Qiuying Zhang

arxiv:1507.04150 v3 · 2015-07-15 · 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{5KTRO6BPN5T4TFSHSPF7I2Y37U}

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	2026-05-18T01:11:35.291071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaa717782f6f67c9964793cbf46b1bfd21191841a4f08b5f7a823fea30a665bd

Aliases

arxiv: 1507.04150 · arxiv_version: 1507.04150v3 · doi: 10.48550/arxiv.1507.04150 · pith_short_12: 5KTRO6BPN5T4 · pith_short_16: 5KTRO6BPN5T4TFSH · pith_short_8: 5KTRO6BP

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/5KTRO6BPN5T4TFSHSPF7I2Y37U \
  | 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: eaa717782f6f67c9964793cbf46b1bfd21191841a4f08b5f7a823fea30a665bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01f14f556e21e23077a4d4a16c106f814c2ade89dc3816f1f59c0514004b6b88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-15T10:14:14Z",
    "title_canon_sha256": "de237cf5e5a664b168c46e851cdfd63b7a371cfb63b70c0b6fe3eea45497b7be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04150",
    "kind": "arxiv",
    "version": 3
  }
}