Pith Number

pith:7HYBYZZK

pith:2016:7HYBYZZKJKKXWWEPLBYRV2W4SQ

not attested not anchored not stored refs pending

Born-Jordan Pseudo-Differential Operators with Symbols in the Shubin Classes

Elena Cordero, Fabio Nicola, Maurice de Gosson

arxiv:1603.03403 v3 · 2016-03-10 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7HYBYZZKJKKXWWEPLBYRV2W4SQ}

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	2026-05-18T01:19:04.967326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9f01c672a4a957b588f58711aeadc94325b8fb632086da0a830e9c6d54699bb

Aliases

arxiv: 1603.03403 · arxiv_version: 1603.03403v3 · doi: 10.48550/arxiv.1603.03403 · pith_short_12: 7HYBYZZKJKKX · pith_short_16: 7HYBYZZKJKKXWWEP · pith_short_8: 7HYBYZZK

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/7HYBYZZKJKKXWWEPLBYRV2W4SQ \
  | 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: f9f01c672a4a957b588f58711aeadc94325b8fb632086da0a830e9c6d54699bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6604ab9137abe1f848eea402ac59fb2bbb3996dc4d8f400834a1f35d1b6f4cd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-10T20:11:58Z",
    "title_canon_sha256": "7b1787d8f10dab4039e46a3bdd43162839ad5e2ae025268212f30ac3e2899f21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03403",
    "kind": "arxiv",
    "version": 3
  }
}