Pith Number

pith:HGSCZ4JE

pith:2013:HGSCZ4JE6NT7V2QY3BYLVGG6GT

not attested not anchored not stored refs pending

Nonlinear and additive white noise perturbations of linear delay differential equations at the verge of instability: an averaging approach

Nishanth Lingala, N. Sri Namachchivaya

arxiv:1311.4532 v3 · 2013-11-18 · 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{HGSCZ4JE6NT7V2QY3BYLVGG6GT}

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	2026-05-18T02:54:54.343590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39a42cf124f367faea18d870ba98de34c6c04a722435c40f29bce8174c718885

Aliases

arxiv: 1311.4532 · arxiv_version: 1311.4532v3 · doi: 10.48550/arxiv.1311.4532 · pith_short_12: HGSCZ4JE6NT7 · pith_short_16: HGSCZ4JE6NT7V2QY · pith_short_8: HGSCZ4JE

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/HGSCZ4JE6NT7V2QY3BYLVGG6GT \
  | 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: 39a42cf124f367faea18d870ba98de34c6c04a722435c40f29bce8174c718885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd3b6517ec86e8e9192321d06f9311a61bff962c80e3479c88b445301861c6d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-18T20:48:17Z",
    "title_canon_sha256": "11f5be3f228c3925e9e470dd744cecf64a357b3171812e248b6245b09189fb50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4532",
    "kind": "arxiv",
    "version": 3
  }
}