Pith Number

pith:HUQQBB4G

pith:2020:HUQQBB4GUPVWXWHJANRL7IZ7LC

not attested not anchored not stored refs pending

Effective Approximation for a Stochastic System with Large Potential

Ao Zhang, Jinqiao Duan

arxiv:2011.09659 v1 · 2020-11-18 · math.AP · 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{HUQQBB4GUPVWXWHJANRL7IZ7LC}

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	2026-07-05T01:52:50.873291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d21008786a3eb6bd8e90362bfa33f58a4e27fc954912743cdea16263a8548a2

Aliases

arxiv: 2011.09659 · arxiv_version: 2011.09659v1 · doi: 10.48550/arxiv.2011.09659 · pith_short_12: HUQQBB4GUPVW · pith_short_16: HUQQBB4GUPVWXWHJ · pith_short_8: HUQQBB4G

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/HUQQBB4GUPVWXWHJANRL7IZ7LC \
  | 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: 3d21008786a3eb6bd8e90362bfa33f58a4e27fc954912743cdea16263a8548a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf6c6c74cbb02428e05708ddeceba66f55b081878d75209948c1b8d58c7c606",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-11-18T00:11:04Z",
    "title_canon_sha256": "db7cea1c9b02e6e40bdae790db806150c2b577356634f9c1959ad1a14904849c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.09659",
    "kind": "arxiv",
    "version": 1
  }
}