Pith Number

pith:3XYV6424

pith:2022:3XYV6424TWCEOZ55QAORHSCQ26

not attested not anchored not stored refs pending

Counterexamples to elliptic Harnack inequality for isotropic unimodal L\'{e}vy processes

Jens Malmquist, Mathav Murugan

arxiv:2209.09778 v3 · 2022-09-20 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XYV6424TWCEOZ55QAORHSCQ26}

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	2026-07-05T05:59:39.598750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddf15f735c9d844767bd801d13c850d7aef3265bc657146d8a64a9904c3a811a

Aliases

arxiv: 2209.09778 · arxiv_version: 2209.09778v3 · doi: 10.48550/arxiv.2209.09778 · pith_short_12: 3XYV6424TWCE · pith_short_16: 3XYV6424TWCEOZ55 · pith_short_8: 3XYV6424

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/3XYV6424TWCEOZ55QAORHSCQ26 \
  | 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: ddf15f735c9d844767bd801d13c850d7aef3265bc657146d8a64a9904c3a811a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9c114ede8d2bfd3ac50821311b119b0394247e2ec98d72534588816c6c33db6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-09-20T15:00:54Z",
    "title_canon_sha256": "85697fd6ed1fc2f7f6c4eda8aa916345ca86ce4184eeb514c0a0fb26e836b4bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.09778",
    "kind": "arxiv",
    "version": 3
  }
}