Pith Number

pith:QUUZDGQF

pith:2023:QUUZDGQFHUUHPVPD2UA5RJHOGW

not attested not anchored not stored refs pending

Ergodicity for the hyperbolic $P(\Phi)_2$-model

Leonardo Tolomeo

arxiv:2310.02190 v1 · 2023-10-03 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QUUZDGQFHUUHPVPD2UA5RJHOGW}

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.

Cited by

1 paper in Pith

Improved quasi-invariance result for the periodic Benjamin-Ono-BBM equation

Receipt and verification

First computed	2026-07-05T06:56:51.165483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8529919a053d2877d5e3d501d8a4ee359bb9d37009de5ae19312383ab7d0e3b0

Aliases

arxiv: 2310.02190 · arxiv_version: 2310.02190v1 · doi: 10.48550/arxiv.2310.02190 · pith_short_12: QUUZDGQFHUUH · pith_short_16: QUUZDGQFHUUHPVPD · pith_short_8: QUUZDGQF

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/QUUZDGQFHUUHPVPD2UA5RJHOGW \
  | 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: 8529919a053d2877d5e3d501d8a4ee359bb9d37009de5ae19312383ab7d0e3b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffcc908f166c25d0ceb289386f85c9a63ca24a554693743ce4e40e22790347e2",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-10-03T16:35:19Z",
    "title_canon_sha256": "44bce837de7b753b7c6c7db4b99bfce38aee04d9e65cf6bfb8f0c76325bf2982"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.02190",
    "kind": "arxiv",
    "version": 1
  }
}