Pith Number

pith:NW2TK2M4

pith:2009:NW2TK2M46LMIR6LC6AQFH2A24T

not attested not anchored not stored refs pending

Reversed Dirichlet environment and directional transience of random walks in Dirichlet random environment

Christophe Sabot (ICJ), Laurent Tournier (ICJ)

arxiv:0905.3917 v2 · 2009-05-24 · 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{NW2TK2M46LMIR6LC6AQFH2A24T}

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	2026-05-18T03:12:58.311051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6db535699cf2d888f962f02053e81ae4da0b3df9e0c6ce1cfb9d5b4e71791717

Aliases

arxiv: 0905.3917 · arxiv_version: 0905.3917v2 · doi: 10.48550/arxiv.0905.3917 · pith_short_12: NW2TK2M46LMI · pith_short_16: NW2TK2M46LMIR6LC · pith_short_8: NW2TK2M4

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/NW2TK2M46LMIR6LC6AQFH2A24T \
  | 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: 6db535699cf2d888f962f02053e81ae4da0b3df9e0c6ce1cfb9d5b4e71791717

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2caf68ccf4612a5b9dbc3f9fde6dc92c5ad587e7601d57d1ad177ba43435e2ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-05-24T20:12:12Z",
    "title_canon_sha256": "2afff678ecdfa55a8bf2d1f1350855392488d2c7f621c801c96453c314aa0ed4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3917",
    "kind": "arxiv",
    "version": 2
  }
}