Pith Number

pith:4XKBKPBV

pith:2020:4XKBKPBVD6G5UDHQD4F4CP3KVD

not attested not anchored not stored refs pending

The resolvent of the Nelson Hamiltonian improves positivity

Jonas Lampart (CNRS, LICB)

arxiv:2010.03235 v2 · 2020-10-07 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XKBKPBVD6G5UDHQD4F4CP3KVD}

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

On the Ergodicity of Renormalized Translation-Invariant Nelson-Type Semigroups

Receipt and verification

First computed	2026-07-05T02:33:05.819287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5d4153c351f8dda0cf01f0bc13f6aa8d158ca3e45ea94010fe556a675f652bd

Aliases

arxiv: 2010.03235 · arxiv_version: 2010.03235v2 · doi: 10.48550/arxiv.2010.03235 · pith_short_12: 4XKBKPBVD6G5 · pith_short_16: 4XKBKPBVD6G5UDHQ · pith_short_8: 4XKBKPBV

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/4XKBKPBVD6G5UDHQD4F4CP3KVD \
  | 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: e5d4153c351f8dda0cf01f0bc13f6aa8d158ca3e45ea94010fe556a675f652bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e76bf348d1882ad9012045554385be81ddb374ff8cd4373a23738c69791943a9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-10-07T07:31:09Z",
    "title_canon_sha256": "7a706fd581a6200f57015637233e080da2af1d1ef8325b49f8998e880c318f34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.03235",
    "kind": "arxiv",
    "version": 2
  }
}