Pith Number

pith:G3HYUMIV

pith:2011:G3HYUMIVBUQXKT4DLVWEII4NLB

not attested not anchored not stored refs pending

Global boundedness of multilinear Fourier integral operators

Salvador Rodriguez-Lopez, Wolfgang Staubach

arxiv:1111.4652 v2 · 2011-11-20 · 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{G3HYUMIVBUQXKT4DLVWEII4NLB}

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	2026-05-18T04:07:05.011692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36cf8a31150d21754f835d6c44238d587d5f7f8bea0c1790afb8513685e8c588

Aliases

arxiv: 1111.4652 · arxiv_version: 1111.4652v2 · doi: 10.48550/arxiv.1111.4652 · pith_short_12: G3HYUMIVBUQX · pith_short_16: G3HYUMIVBUQXKT4D · pith_short_8: G3HYUMIV

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/G3HYUMIVBUQXKT4DLVWEII4NLB \
  | 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: 36cf8a31150d21754f835d6c44238d587d5f7f8bea0c1790afb8513685e8c588

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be019d6c54e49150a12de4f0374ad49599b9d7acd3f3cc41774bb708c52bb254",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-20T17:34:21Z",
    "title_canon_sha256": "940f7b93c961298336b81cefdcdf8241ea1a437e28869ca62b916ed7518d0590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4652",
    "kind": "arxiv",
    "version": 2
  }
}