Pith Number

pith:RAPROR3R

pith:2014:RAPROR3R6USPMUBVVGRZDFMMBR

not attested not anchored not stored refs pending

The proof of the $l^2$ Decoupling Conjecture

Ciprian Demeter, Jean Bourgain

arxiv:1403.5335 v3 · 2014-03-21 · math.CA · math.AP · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RAPROR3R6USPMUBVVGRZDFMMBR}

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	2026-05-18T01:36:20.850841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

881f174771f524f65035a9a391958c0c6a58d116ed355652a88f32d01048e9dc

Aliases

arxiv: 1403.5335 · arxiv_version: 1403.5335v3 · doi: 10.48550/arxiv.1403.5335 · pith_short_12: RAPROR3R6USP · pith_short_16: RAPROR3R6USPMUBV · pith_short_8: RAPROR3R

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/RAPROR3R6USPMUBVVGRZDFMMBR \
  | 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: 881f174771f524f65035a9a391958c0c6a58d116ed355652a88f32d01048e9dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb323a35db1937f89a80ffcb3d908cf4263dd9814d6c219abffb743f26863b90",
    "cross_cats_sorted": [
      "math.AP",
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-03-21T00:59:43Z",
    "title_canon_sha256": "2571ea6bab8d090aded5ec11f06eb41eb8f37e9ec468578bf86e928d872b576c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5335",
    "kind": "arxiv",
    "version": 3
  }
}