Pith Number

pith:DD7LXGZS

pith:2012:DD7LXGZSP4KNFVHM2Q2XXJZMBF

not attested not anchored not stored refs pending

Effective dynamics of stochastic wave equation with a random dynamical boundary condition

Guanggan Chen, Jian Zhang, Jinqiao Duan

arxiv:1205.5948 v1 · 2012-05-27 · 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{DD7LXGZSP4KNFVHM2Q2XXJZMBF}

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	2026-05-18T03:54:48.697930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18febb9b327f14d2d4ecd4357ba72c096fea476bc7570ae3f6e64abc63b04a86

Aliases

arxiv: 1205.5948 · arxiv_version: 1205.5948v1 · doi: 10.48550/arxiv.1205.5948 · pith_short_12: DD7LXGZSP4KN · pith_short_16: DD7LXGZSP4KNFVHM · pith_short_8: DD7LXGZS

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/DD7LXGZSP4KNFVHM2Q2XXJZMBF \
  | 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: 18febb9b327f14d2d4ecd4357ba72c096fea476bc7570ae3f6e64abc63b04a86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1942b9c91df9f4ed10b5c86463f6b09b7cd2337c10b7e5130fbafcd28b4272ea",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-27T08:09:55Z",
    "title_canon_sha256": "84e3d43635f481e4ccb4851f55fb7778023f707433a155ea8a14e52f62af27b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5948",
    "kind": "arxiv",
    "version": 1
  }
}