Pith Number

pith:QY7E26IF

pith:2018:QY7E26IFXLP4Q7DKAOPJ55NXMQ

not attested not anchored not stored refs pending

The H\"ormander index in the finite-dimensional case

Chaofeng Zhu, Li Wu, Yuting Zhou

arxiv:1805.04674 v1 · 2018-05-12 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QY7E26IFXLP4Q7DKAOPJ55NXMQ}

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	2026-05-18T00:16:04.805986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

863e4d7905badfc87c6a039e9ef5b7643624ff22bcbb7f3d9eea255be0261d4b

Aliases

arxiv: 1805.04674 · arxiv_version: 1805.04674v1 · doi: 10.48550/arxiv.1805.04674 · pith_short_12: QY7E26IFXLP4 · pith_short_16: QY7E26IFXLP4Q7DK · pith_short_8: QY7E26IF

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/QY7E26IFXLP4Q7DKAOPJ55NXMQ \
  | 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: 863e4d7905badfc87c6a039e9ef5b7643624ff22bcbb7f3d9eea255be0261d4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42746c71409849fc31f3805051edf4a7a8ceef257c1a3e92430265788d749771",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2018-05-12T07:05:53Z",
    "title_canon_sha256": "81e292d2e0c27d342da54d49f37aa62c0cbc08d8063bc9455dd032e6220e5b7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04674",
    "kind": "arxiv",
    "version": 1
  }
}