Pith Number

pith:STRGEYYK

pith:2013:STRGEYYKHHMFG7W4BIRDHLPD5G

not attested not anchored not stored refs pending

Fundamental solutions and local solvability for nonsmooth H\"ormander's operators

Luca Brandolini, Marco Bramanti, Marco Pedroni, Maria Manfredini

arxiv:1305.3398 v1 · 2013-05-15 · 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{STRGEYYKHHMFG7W4BIRDHLPD5G}

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	2026-05-18T03:25:35.940610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94e262630a39d8537edc0a2233ade3e98876d04b70fe2f03ba0c80952e2f6684

Aliases

arxiv: 1305.3398 · arxiv_version: 1305.3398v1 · doi: 10.48550/arxiv.1305.3398 · pith_short_12: STRGEYYKHHMF · pith_short_16: STRGEYYKHHMFG7W4 · pith_short_8: STRGEYYK

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/STRGEYYKHHMFG7W4BIRDHLPD5G \
  | 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: 94e262630a39d8537edc0a2233ade3e98876d04b70fe2f03ba0c80952e2f6684

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3518b6ae89c9f0befbba2b30391150c5c47bbc3eeed31b61860abc919baee16a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-15T09:14:57Z",
    "title_canon_sha256": "9f37630ccb36a9af7a8a76a8ac326f85e28fa8a70391fec992a077a8e2642797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3398",
    "kind": "arxiv",
    "version": 1
  }
}