Pith Number

pith:MVR5MEKE

pith:2016:MVR5MEKENEVOU4YZLEIAZFAZAY

not attested not anchored not stored refs pending

Analytic Hypoellipticity for Sums of Squares and the Treves Conjecture

Antonio Bove, Marco Mughetti, Paolo Albano

arxiv:1605.03801 v1 · 2016-05-12 · 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{MVR5MEKENEVOU4YZLEIAZFAZAY}

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	2026-05-18T01:14:59.459788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6563d61144692aea731959100c941906359f38e6bef24a4f3453024edd48c0cd

Aliases

arxiv: 1605.03801 · arxiv_version: 1605.03801v1 · doi: 10.48550/arxiv.1605.03801 · pith_short_12: MVR5MEKENEVO · pith_short_16: MVR5MEKENEVOU4YZ · pith_short_8: MVR5MEKE

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/MVR5MEKENEVOU4YZLEIAZFAZAY \
  | 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: 6563d61144692aea731959100c941906359f38e6bef24a4f3453024edd48c0cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3557899fec81bc80fb2e601c398320c8737f0015d280cd4a44ea1db432a71d5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-12T13:21:01Z",
    "title_canon_sha256": "5d3e8fb2483499778b72806c159226b35a2a445ff5efb50a2ead24ffd9d64021"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03801",
    "kind": "arxiv",
    "version": 1
  }
}