Pith Number

pith:GG6GSJ4K

pith:2005:GG6GSJ4KOZBVBQ2P7S7L7NPLE4

not attested not anchored not stored refs pending

Transition from the annealed to the quenched asymptotics for a random walk on random obstacles

Alejandro F. Ram\'irez, G\'erard Ben Arous, Stanislav Molchanov

arxiv:math/0501107 v3 · 2005-01-07 · 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{GG6GSJ4KOZBVBQ2P7S7L7NPLE4}

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	2026-05-18T01:08:51.442436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31bc69278a764350c34ffcbebfb5eb2717738f563ff1dcc8812e9cbe8f987d09

Aliases

arxiv: math/0501107 · arxiv_version: math/0501107v3 · doi: 10.48550/arxiv.math/0501107 · pith_short_12: GG6GSJ4KOZBV · pith_short_16: GG6GSJ4KOZBVBQ2P · pith_short_8: GG6GSJ4K

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/GG6GSJ4KOZBVBQ2P7S7L7NPLE4 \
  | 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: 31bc69278a764350c34ffcbebfb5eb2717738f563ff1dcc8812e9cbe8f987d09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2bb3e57581c0172faffc7fa0ae6818a190ec8efd162efa3eafdbb22ebfb7191",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-01-07T21:14:50Z",
    "title_canon_sha256": "dd237d00052e0dd3350d32c75c7ba05a049209f26d172b80fdf6d7ec66eb718a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501107",
    "kind": "arxiv",
    "version": 3
  }
}