Pith Number

pith:3QBOELNQ

pith:2010:3QBOELNQXY7FV7X6VO4ZXI6VI5

not attested not anchored not stored refs pending

Superdiffusive bounds on self-repellent Brownian polymers and diffusion in the curl of the Gaussian free field in d=2

Balint Toth, Benedek Valko

arxiv:1012.5698 v1 · 2010-12-28 · 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{3QBOELNQXY7FV7X6VO4ZXI6VI5}

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	2026-05-18T04:32:22.503649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc02e22db0be3e5afefeabb99ba3d5477d376532675e0098bab5522b2cafd5fe

Aliases

arxiv: 1012.5698 · arxiv_version: 1012.5698v1 · doi: 10.48550/arxiv.1012.5698 · pith_short_12: 3QBOELNQXY7F · pith_short_16: 3QBOELNQXY7FV7X6 · pith_short_8: 3QBOELNQ

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/3QBOELNQXY7FV7X6VO4ZXI6VI5 \
  | 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: dc02e22db0be3e5afefeabb99ba3d5477d376532675e0098bab5522b2cafd5fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dce33248c2f4ff61d7bb0cb47320179f6526255cb4be62763af3dd60a7b9af1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-28T05:19:46Z",
    "title_canon_sha256": "75808ee1bd9adb1b37fefcf0b3d5e162035553e7f2a55a86334c97b894bcd50e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5698",
    "kind": "arxiv",
    "version": 1
  }
}