Pith Number

pith:2SFH4YWP

pith:2012:2SFH4YWPBX3EBC3KYZVN4TWBNX

not attested not anchored not stored refs pending

From almost sure local regularity to almost sure Hausdorff dimension for Gaussian fields

Benjamin Arras, Erick Herbin, Geoffroy Barruel

arxiv:1206.0605 v1 · 2012-06-04 · 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{2SFH4YWPBX3EBC3KYZVN4TWBNX}

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	2026-05-18T03:54:17.118345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d48a7e62cf0df6408b6ac66ade4ec16de60b2cd1e116476fb008fbb58611ef84

Aliases

arxiv: 1206.0605 · arxiv_version: 1206.0605v1 · doi: 10.48550/arxiv.1206.0605 · pith_short_12: 2SFH4YWPBX3E · pith_short_16: 2SFH4YWPBX3EBC3K · pith_short_8: 2SFH4YWP

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/2SFH4YWPBX3EBC3KYZVN4TWBNX \
  | 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: d48a7e62cf0df6408b6ac66ade4ec16de60b2cd1e116476fb008fbb58611ef84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e79266a474cd7f212d848fee209fc57cf0c882b0c8d97d1d6dd24966a435def4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-04T13:05:44Z",
    "title_canon_sha256": "bf0f1d537cc5ca8627ec3fae4a140565329cf031459c82a2764470482d03299b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0605",
    "kind": "arxiv",
    "version": 1
  }
}