Pith Number

pith:OCJ425XS

pith:2016:OCJ425XSKCFZUGXW2XCWFPO2GS

not attested not anchored not stored refs pending

Sharp bounds for the cubic Parsell-Vinogradov system in two dimensions

Ciprian Demeter, Jean Bourgain, Shaoming Guo

arxiv:1608.06346 v1 · 2016-08-23 · math.NT · 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{OCJ425XSKCFZUGXW2XCWFPO2GS}

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	2026-05-18T01:08:14.277030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7093cd76f2508b9a1af6d5c562bdda34afe7132635a6666eec16838627090104

Aliases

arxiv: 1608.06346 · arxiv_version: 1608.06346v1 · doi: 10.48550/arxiv.1608.06346 · pith_short_12: OCJ425XSKCFZ · pith_short_16: OCJ425XSKCFZUGXW · pith_short_8: OCJ425XS

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/OCJ425XSKCFZUGXW2XCWFPO2GS \
  | 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: 7093cd76f2508b9a1af6d5c562bdda34afe7132635a6666eec16838627090104

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "897b65395fc01318f13ffabbbb3392e174358cbfa3122dd771e1fece3615f235",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-23T00:31:46Z",
    "title_canon_sha256": "a8ec3e8431e8475300cc3f712d923677294985a084fb69fc04198dc058ab35c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06346",
    "kind": "arxiv",
    "version": 1
  }
}