Pith Number

pith:PBKFDQOB

pith:2011:PBKFDQOBCESPVVZYF47MLCDUJE

not attested not anchored not stored refs pending

On the incompleteness of the moment and correlation function hierarchy as probes of the lognormal field

Julien Carron

arxiv:1105.4467 v2 · 2011-05-23 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBKFDQOBCESPVVZYF47MLCDUJE}

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	2026-05-18T04:15:18.531723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

785451c1c11124fad7382f3ec5887449235ec7f40452ccb4c7ddbb865320dc16

Aliases

arxiv: 1105.4467 · arxiv_version: 1105.4467v2 · doi: 10.48550/arxiv.1105.4467 · pith_short_12: PBKFDQOBCESP · pith_short_16: PBKFDQOBCESPVVZY · pith_short_8: PBKFDQOB

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/PBKFDQOBCESPVVZYF47MLCDUJE \
  | 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: 785451c1c11124fad7382f3ec5887449235ec7f40452ccb4c7ddbb865320dc16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be3b9cb0d448d8384122141c7438a6667f9869328576bbd8578306db60bf0057",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-05-23T11:08:44Z",
    "title_canon_sha256": "abd0a148a97b21bb2aaed067d76be123fa20130e5e7a2a29ced1c4e49f18d2ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4467",
    "kind": "arxiv",
    "version": 2
  }
}