Pith Number

pith:XC75TFU7

pith:2017:XC75TFU7THKANLQFZDHWE6F6RZ

not attested not anchored not stored refs pending

Multi-scale bilinear restriction estimates for general phases

Timothy Candy

arxiv:1707.08944 v2 · 2017-07-27 · 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{XC75TFU7THKANLQFZDHWE6F6RZ}

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	2026-05-18T00:19:03.868865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8bfd9969f99d406ae05c8cf6278be8e5927b7d20eb0f44270ffc871f6e51bb2

Aliases

arxiv: 1707.08944 · arxiv_version: 1707.08944v2 · doi: 10.48550/arxiv.1707.08944 · pith_short_12: XC75TFU7THKA · pith_short_16: XC75TFU7THKANLQF · pith_short_8: XC75TFU7

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/XC75TFU7THKANLQFZDHWE6F6RZ \
  | 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: b8bfd9969f99d406ae05c8cf6278be8e5927b7d20eb0f44270ffc871f6e51bb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29247ea17a3ac349414cd4d32806d8615fab944f2c8e10210234cc10f8bc4305",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-07-27T17:34:49Z",
    "title_canon_sha256": "369a8a4dd7c9c062d0cb4b120593ad487e41e8733c661ad53e82d164f1bbee2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08944",
    "kind": "arxiv",
    "version": 2
  }
}