Pith Number

pith:JOFCZHZY

pith:2013:JOFCZHZYMKZBMI3R4R2RUQLBXQ

not attested not anchored not stored refs pending

Invariance principle for the random conductance model in a degenerate ergodic environment

Jean-Dominique Deuschel, Martin Slowik, Sebastian Andres

arxiv:1306.2521 v5 · 2013-06-11 · 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{JOFCZHZYMKZBMI3R4R2RUQLBXQ}

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	2026-05-17T23:56:15.850812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b8a2c9f3862b2162371e4751a4161bc1e2b20283bc792ef9a2b90186b6b7a88

Aliases

arxiv: 1306.2521 · arxiv_version: 1306.2521v5 · doi: 10.48550/arxiv.1306.2521 · pith_short_12: JOFCZHZYMKZB · pith_short_16: JOFCZHZYMKZBMI3R · pith_short_8: JOFCZHZY

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/JOFCZHZYMKZBMI3R4R2RUQLBXQ \
  | 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: 4b8a2c9f3862b2162371e4751a4161bc1e2b20283bc792ef9a2b90186b6b7a88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0ea96ba43dd4b277e094db0670bc799024c61afef9462fadf50644def52ef1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-11T13:43:53Z",
    "title_canon_sha256": "034ad43e774e61b0a42dbe531c9bb2a9b93f736eda9ef9e5a6454fe3d21accf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2521",
    "kind": "arxiv",
    "version": 5
  }
}