Pith Number

pith:PWXTJWDU

pith:2016:PWXTJWDUEMK5PVXBVGY3LDVE4W

not attested not anchored not stored refs pending

Variational estimates for the bilinear iterated Fourier integral

Camil Muscalu, Christoph Thiele, Yen Do

arxiv:1605.00574 v1 · 2016-05-02 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWXTJWDUEMK5PVXBVGY3LDVE4W}

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	2026-05-18T01:15:53.839938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7daf34d8742315d7d6e1a9b1b58ea4e5bd96ff768fccf863aef7d867b7469cff

Aliases

arxiv: 1605.00574 · arxiv_version: 1605.00574v1 · doi: 10.48550/arxiv.1605.00574 · pith_short_12: PWXTJWDUEMK5 · pith_short_16: PWXTJWDUEMK5PVXB · pith_short_8: PWXTJWDU

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/PWXTJWDUEMK5PVXBVGY3LDVE4W \
  | 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: 7daf34d8742315d7d6e1a9b1b58ea4e5bd96ff768fccf863aef7d867b7469cff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f241f30bc4e90c5d5d1de7b88fdfe1172ff8bc661c1f69f72f0c957a9e2ffb9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-05-02T17:29:57Z",
    "title_canon_sha256": "b6619b684d790b6c7092c6f6b5ff1ea180327b8409cb7c7280fe7c1b1940a6ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00574",
    "kind": "arxiv",
    "version": 1
  }
}