Pith Number

pith:ZGCIOTW3

pith:2010:ZGCIOTW3V4THJY64A4ICZ467II

not attested not anchored not stored refs pending

Fractional $P(\phi)_1$-processes and Gibbs measures

Jozsef Lorinczi, Kamil Kaleta

arxiv:1011.2713 v2 · 2010-11-11 · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGCIOTW3V4THJY64A4ICZ467II}

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	2026-05-18T02:57:24.447663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c984874edbaf2674e3dc07102cf3df4214cc3af363cb2b9ca341a268da2a03a9

Aliases

arxiv: 1011.2713 · arxiv_version: 1011.2713v2 · doi: 10.48550/arxiv.1011.2713 · pith_short_12: ZGCIOTW3V4TH · pith_short_16: ZGCIOTW3V4THJY64 · pith_short_8: ZGCIOTW3

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/ZGCIOTW3V4THJY64A4ICZ467II \
  | 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: c984874edbaf2674e3dc07102cf3df4214cc3af363cb2b9ca341a268da2a03a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e6bfa37ac7851af979bcdbb76c2527cdf8a2ef78674af7d576e0f97b1d17778",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-11T17:13:39Z",
    "title_canon_sha256": "6b452ad97b977749ae14eb6c548f5894040afad5852e3bf0b9e87203c30ed4f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2713",
    "kind": "arxiv",
    "version": 2
  }
}