Pith Number

pith:RBR6AWCE

pith:2011:RBR6AWCEZFECD2UPACJABLGT27

not attested not anchored not stored refs pending

A quenched invariance principle for non-elliptic random walk in i.i.d. balanced random environment

Jean-Dominique Deuschel, Noam Berger

arxiv:1108.3995 v2 · 2011-08-19 · 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{RBR6AWCEZFECD2UPACJABLGT27}

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	2026-05-18T03:51:48.825268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8863e05844c94821ea8f009200acd3d7cedb5e6e5958b16102b957804175f477

Aliases

arxiv: 1108.3995 · arxiv_version: 1108.3995v2 · doi: 10.48550/arxiv.1108.3995 · pith_short_12: RBR6AWCEZFEC · pith_short_16: RBR6AWCEZFECD2UP · pith_short_8: RBR6AWCE

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/RBR6AWCEZFECD2UPACJABLGT27 \
  | 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: 8863e05844c94821ea8f009200acd3d7cedb5e6e5958b16102b957804175f477

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ebdef01f133be24263a96169f74014081ccdf37490402acb721f6f36367473f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-19T16:19:33Z",
    "title_canon_sha256": "7f35d69b8b569ded1eeb53afe312c09015d49e287bb147b18a695b71494caf71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3995",
    "kind": "arxiv",
    "version": 2
  }
}