Pith Number

pith:6YIOYO57

pith:2019:6YIOYO57AHQZ4FJKBN6JR4RNK4

not attested not anchored not stored refs pending

Functional inequalities for a class of nonlocal hypoelliptic equations of H\"ormander type

Giulio Tralli, Nicola Garofalo

arxiv:1905.08887 v2 · 2019-05-21 · 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{6YIOYO57AHQZ4FJKBN6JR4RNK4}

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	2026-05-17T23:41:52.998245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f610ec3bbf01e19e152a0b7c98f22d572259e41a821ad68f042135c5cdc26599

Aliases

arxiv: 1905.08887 · arxiv_version: 1905.08887v2 · doi: 10.48550/arxiv.1905.08887 · pith_short_12: 6YIOYO57AHQZ · pith_short_16: 6YIOYO57AHQZ4FJK · pith_short_8: 6YIOYO57

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/6YIOYO57AHQZ4FJKBN6JR4RNK4 \
  | 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: f610ec3bbf01e19e152a0b7c98f22d572259e41a821ad68f042135c5cdc26599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63c6c5aed43342bf7b7db95aab7fc7cdf6c11702d76e8191a8db5a07a57112a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-21T22:24:34Z",
    "title_canon_sha256": "ad0d8c35b4b8126bb44402c67ef80b8f4ea18ba67c5ed6871f0f4c6aa4b088c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08887",
    "kind": "arxiv",
    "version": 2
  }
}