Pith Number

pith:TVM6OVS2

pith:2012:TVM6OVS2VWOMMOV7EKTPKSIURM

not attested not anchored not stored refs pending

Precise asymptotics for large deviations of integral forms

Xiangfeng Yang

arxiv:1211.5610 v1 · 2012-11-23 · 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{TVM6OVS2VWOMMOV7EKTPKSIURM}

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	2026-05-18T03:40:02.467118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d59e7565aad9cc63abf22a6f549148b02efb395bd7a705befc23f53ff035aff

Aliases

arxiv: 1211.5610 · arxiv_version: 1211.5610v1 · doi: 10.48550/arxiv.1211.5610 · pith_short_12: TVM6OVS2VWOM · pith_short_16: TVM6OVS2VWOMMOV7 · pith_short_8: TVM6OVS2

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/TVM6OVS2VWOMMOV7EKTPKSIURM \
  | 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: 9d59e7565aad9cc63abf22a6f549148b02efb395bd7a705befc23f53ff035aff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86d0bdca0fa07d46c3cfd58fe6034e04272ffa53607dbfe023200844849674e4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-23T21:17:47Z",
    "title_canon_sha256": "532787c915698b7891e10b6946ec2e24b5046bbf306dd2bc52db125fd6b3dae0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5610",
    "kind": "arxiv",
    "version": 1
  }
}