Pith Number

pith:ZTGKRBD2

pith:2021:ZTGKRBD2E2D6UAD2U34RFFHFHZ

not attested not anchored not stored refs pending

Long-time dynamics of stochastic differential equations

Nils Berglund

arxiv:2106.12998 v2 · 2021-06-24 · math.PR · math.AP · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZTGKRBD2E2D6UAD2U34RFFHFHZ}

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.

Cited by

1 paper in Pith

Limit theorems for random walks with spatio-temporal drift

Receipt and verification

First computed	2026-07-05T03:08:34.709564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cccca8847a2687ea007aa6f91294e53e768643ba3dcd8b58864543b14bebbce6

Aliases

arxiv: 2106.12998 · arxiv_version: 2106.12998v2 · doi: 10.48550/arxiv.2106.12998 · pith_short_12: ZTGKRBD2E2D6 · pith_short_16: ZTGKRBD2E2D6UAD2 · pith_short_8: ZTGKRBD2

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/ZTGKRBD2E2D6UAD2U34RFFHFHZ \
  | 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: cccca8847a2687ea007aa6f91294e53e768643ba3dcd8b58864543b14bebbce6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d34c846c92eb52f9456961ecdb3e72f9664ae848546e373e9292e92545eacc8f",
    "cross_cats_sorted": [
      "math.AP",
      "math.HO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-06-24T13:17:59Z",
    "title_canon_sha256": "f8ec79d62fe8ccf1fbae03144ef55e2e1aec847c34c5f2c1bd8a4e31f143e864"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.12998",
    "kind": "arxiv",
    "version": 2
  }
}