Pith Number

pith:JZPYQO6L

pith:2018:JZPYQO6LYJJ4VOU7OIO3LTFW67

not attested not anchored not stored refs pending

Affine Poisson & Non-Poisson trace principles for $\dot{H}^{-1<-\alpha\le-\frac12}(\R^{n-1})$

Jie Xiao, Nico Lombardi

arxiv:1808.08919 v3 · 2018-08-27 · 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{JZPYQO6LYJJ4VOU7OIO3LTFW67}

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	2026-05-17T23:43:50.932281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e5f883bcbc253caba9f721db5ccb6f7ce63dc77fe3bd3e4b6c29299699308d7

Aliases

arxiv: 1808.08919 · arxiv_version: 1808.08919v3 · doi: 10.48550/arxiv.1808.08919 · pith_short_12: JZPYQO6LYJJ4 · pith_short_16: JZPYQO6LYJJ4VOU7 · pith_short_8: JZPYQO6L

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/JZPYQO6LYJJ4VOU7OIO3LTFW67 \
  | 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: 4e5f883bcbc253caba9f721db5ccb6f7ce63dc77fe3bd3e4b6c29299699308d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36242827341711bc475f56ee8616d3ae95854075ae58972f2cd5c60d2da65718",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-27T16:42:41Z",
    "title_canon_sha256": "f9010b544f13b8abfcbd18f01be417df4502455a09d7ec22e1c2a1cad66b1d7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08919",
    "kind": "arxiv",
    "version": 3
  }
}