Pith Number

pith:TCDOCCYH

pith:2010:TCDOCCYH3GHB7H5G6OU4PLFLV6

not attested not anchored not stored refs pending

Quenched limits for the fluctuations of transient random walks in random environment on Z

Christophe Sabot, Laurent Tournier, Nathana\"el Enriquez, Olivier Zindy

arxiv:1012.1959 v3 · 2010-12-09 · 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{TCDOCCYH3GHB7H5G6OU4PLFLV6}

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	2026-05-18T03:28:06.637498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9886e10b07d98e1f9fa6f3a9c7acabaf8f99dbce5bdc8784f2193b9b37d33ccd

Aliases

arxiv: 1012.1959 · arxiv_version: 1012.1959v3 · doi: 10.48550/arxiv.1012.1959 · pith_short_12: TCDOCCYH3GHB · pith_short_16: TCDOCCYH3GHB7H5G · pith_short_8: TCDOCCYH

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/TCDOCCYH3GHB7H5G6OU4PLFLV6 \
  | 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: 9886e10b07d98e1f9fa6f3a9c7acabaf8f99dbce5bdc8784f2193b9b37d33ccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c973fd87ba71e865eb27c4a4ade60b8495c3f7d46ae7a55d6724a9ea2e0ea584",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-09T09:55:23Z",
    "title_canon_sha256": "2506a5e7089495c3694d3e8afe016fee64bec5ed6e1da79b26d249b66306550e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1959",
    "kind": "arxiv",
    "version": 3
  }
}