Pith Number

pith:WGA5TL2A

pith:2011:WGA5TL2AEFUU5P3MQZ6HSVCHAR

not attested not anchored not stored refs pending

On the H\"ormander classes of bilinear pseudodifferential operators II

\'Arpad B\'enyi, Diego Maldonado, Fr\'ed\'eric Bernicot, Rodolfo Torres, Virginia Naibo

arxiv:1112.0486 v1 · 2011-12-02 · math.CA · 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{WGA5TL2AEFUU5P3MQZ6HSVCHAR}

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	2026-05-18T04:07:07.125905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b181d9af4021694ebf6c867c7954470458605d0555e4f135eeeebde9f4f7346d

Aliases

arxiv: 1112.0486 · arxiv_version: 1112.0486v1 · doi: 10.48550/arxiv.1112.0486 · pith_short_12: WGA5TL2AEFUU · pith_short_16: WGA5TL2AEFUU5P3M · pith_short_8: WGA5TL2A

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/WGA5TL2AEFUU5P3MQZ6HSVCHAR \
  | 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: b181d9af4021694ebf6c867c7954470458605d0555e4f135eeeebde9f4f7346d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8b907a6899e8f233bf4056b54d0ce9fc0edf288e385dd20676cc58822f8383f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-12-02T15:50:02Z",
    "title_canon_sha256": "6f030a47b6fb74146db8a9635cc60e5ec3f553c32bf6dfda7414c2d85a4e3a94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0486",
    "kind": "arxiv",
    "version": 1
  }
}