Pith Number

pith:SWCZTK7D

pith:2016:SWCZTK7DPBRUI2QEGUMM6JWMCM

not attested not anchored not stored refs pending

Higher decay inequalities for multilinear oscillatory integrals

Lechao Xiao, Maxim Gilula, Philip T. Gressman

arxiv:1612.00050 v1 · 2016-11-30 · 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{SWCZTK7DPBRUI2QEGUMM6JWMCM}

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	2026-05-18T00:56:06.946246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

958599abe37863446a043518cf26cc131aac96488ddd1ba98abf4a0484a467a3

Aliases

arxiv: 1612.00050 · arxiv_version: 1612.00050v1 · doi: 10.48550/arxiv.1612.00050 · pith_short_12: SWCZTK7DPBRU · pith_short_16: SWCZTK7DPBRUI2QE · pith_short_8: SWCZTK7D

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/SWCZTK7DPBRUI2QEGUMM6JWMCM \
  | 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: 958599abe37863446a043518cf26cc131aac96488ddd1ba98abf4a0484a467a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f7b7851a5651e677045c4fa692592b726e96fa2863619d456bb3265133ca9b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-11-30T21:59:02Z",
    "title_canon_sha256": "90bdfa36049aace86ffdfa90f2ec267bb1e4854702b743fde8b41f1d94854bc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00050",
    "kind": "arxiv",
    "version": 1
  }
}