Pith Number

pith:2Z7WM22D

pith:2011:2Z7WM22DIQCKN6SVWB7NTM2BRA

not attested not anchored not stored refs pending

Homogenization of nonlinear stochastic partial differential equations in a general ergodic environment

Jean Louis Woukeng, Paul Andr\'e Razafimandimby

arxiv:1109.1977 v2 · 2011-09-09 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2Z7WM22DIQCKN6SVWB7NTM2BRA}

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	2026-05-18T02:45:32.477912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d67f666b434404a6fa55b07ed9b3418828f949667f63eb0939e376bcfa6d0a9a

Aliases

arxiv: 1109.1977 · arxiv_version: 1109.1977v2 · doi: 10.48550/arxiv.1109.1977 · pith_short_12: 2Z7WM22DIQCK · pith_short_16: 2Z7WM22DIQCKN6SV · pith_short_8: 2Z7WM22D

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/2Z7WM22DIQCKN6SVWB7NTM2BRA \
  | 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: d67f666b434404a6fa55b07ed9b3418828f949667f63eb0939e376bcfa6d0a9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b0e4d3231f5691cacf513a4e928558fe2a4881ab81439ca5feddd5108fe8a6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-09T12:16:00Z",
    "title_canon_sha256": "5c5ca389b94f4265712e85b623d96304d4b91e473c6386ad42b4c34fcef76b85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1977",
    "kind": "arxiv",
    "version": 2
  }
}