Pith Number

pith:FHXOUOB5

pith:2016:FHXOUOB5LMYVA5GW3GCQNVFANK

not attested not anchored not stored refs pending

The existence of a global fundamental solution for homogeneous H\"ormander operators via a global lifting method

Andrea Bonfiglioli, Stefano Biagi

arxiv:1604.02599 v3 · 2016-04-09 · 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{FHXOUOB5LMYVA5GW3GCQNVFANK}

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	2026-05-18T00:45:06.597361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29eeea383d5b315074d6d98506d4a06abf9be182bf7847ab8179cd36f108c938

Aliases

arxiv: 1604.02599 · arxiv_version: 1604.02599v3 · doi: 10.48550/arxiv.1604.02599 · pith_short_12: FHXOUOB5LMYV · pith_short_16: FHXOUOB5LMYVA5GW · pith_short_8: FHXOUOB5

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/FHXOUOB5LMYVA5GW3GCQNVFANK \
  | 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: 29eeea383d5b315074d6d98506d4a06abf9be182bf7847ab8179cd36f108c938

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26f51dbd232668e6f2d36537a8e16b1d8e1c353d6847b3048603458cebdc6f3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-09T19:40:44Z",
    "title_canon_sha256": "698854f8bfe519e2a3861ad8b7a5305414e715b67ce6f8aa6acce874a0104e01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02599",
    "kind": "arxiv",
    "version": 3
  }
}