Pith Number

pith:NGXY55AO

pith:2018:NGXY55AOA5NSKPPRIIEVVC5PAX

not attested not anchored not stored refs pending

The two-dimensional KPZ equation in the entire subcritical regime

Francesco Caravenna, Nikos Zygouras, Rongfeng Sun

arxiv:1812.03911 v3 · 2018-12-10 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGXY55AOA5NSKPPRIIEVVC5PAX}

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	2026-05-17T23:41:45.579097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69af8ef40e075b253df142095a8baf05dbaa1a927cec3c69c702fe16f85a6f4a

Aliases

arxiv: 1812.03911 · arxiv_version: 1812.03911v3 · doi: 10.48550/arxiv.1812.03911 · pith_short_12: NGXY55AOA5NS · pith_short_16: NGXY55AOA5NSKPPR · pith_short_8: NGXY55AO

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/NGXY55AOA5NSKPPRIIEVVC5PAX \
  | 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: 69af8ef40e075b253df142095a8baf05dbaa1a927cec3c69c702fe16f85a6f4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a6d6571e569b76b6948d46b49095a10c0010043543e0b3501c8650728169f5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-10T16:43:57Z",
    "title_canon_sha256": "1c50cf7bd8399f182061e581e7ab214aec3841bfcb80e3c99ef5b18fe6ee0a6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03911",
    "kind": "arxiv",
    "version": 3
  }
}