Pith Number

pith:PEBB5H2E

pith:2010:PEBB5H2EKOZKENCDCD6IF657PG

not attested not anchored not stored refs pending

Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions

Hiroshi Kawabi, Michael R\"ockner, Sergio Albeverio

arxiv:1006.5590 v1 · 2010-06-29 · 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{PEBB5H2EKOZKENCDCD6IF657PG}

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	2026-05-18T00:13:14.243403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79021e9f4453b2a2344310fc82fbbf79bec7b5e7414ff7bd073de924408779fe

Aliases

arxiv: 1006.5590 · arxiv_version: 1006.5590v1 · doi: 10.48550/arxiv.1006.5590 · pith_short_12: PEBB5H2EKOZK · pith_short_16: PEBB5H2EKOZKENCD · pith_short_8: PEBB5H2E

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/PEBB5H2EKOZKENCDCD6IF657PG \
  | 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: 79021e9f4453b2a2344310fc82fbbf79bec7b5e7414ff7bd073de924408779fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff9efcd02633dbaf01f38ac5545a418984f8b163a17e9ea0e065b47bd977d3c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-06-29T12:22:29Z",
    "title_canon_sha256": "52e04786f7ce3ff81822415de67fa6793a3872fd535c202ff5ad62bd52fc73f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5590",
    "kind": "arxiv",
    "version": 1
  }
}