Pith Number

pith:AT4UTJGH

pith:2016:AT4UTJGH5ZE24VHZACR3W7QEZS

not attested not anchored not stored refs pending

A Two-Soliton with Transient Turbulent Regime for the Cubic Half-wave Equation on The Real Line

Enno Lenzmann, Oana Pocovnicu, Patrick G\'erard (LM-Orsay), Pierre Rapha\"el (JAD)

arxiv:1611.08482 v1 · 2016-11-25 · 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{AT4UTJGH5ZE24VHZACR3W7QEZS}

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	2026-05-18T00:56:38.905713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04f949a4c7ee49ae54f900a3bb7e04cc8587889a10391f88bf9acd28a4fa072d

Aliases

arxiv: 1611.08482 · arxiv_version: 1611.08482v1 · doi: 10.48550/arxiv.1611.08482 · pith_short_12: AT4UTJGH5ZE2 · pith_short_16: AT4UTJGH5ZE24VHZ · pith_short_8: AT4UTJGH

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/AT4UTJGH5ZE24VHZACR3W7QEZS \
  | 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: 04f949a4c7ee49ae54f900a3bb7e04cc8587889a10391f88bf9acd28a4fa072d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e24f616c39225c6d2311e75c8e0bf8a57b9726b67f2d4318c202469707c981b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-25T15:11:26Z",
    "title_canon_sha256": "ef1dc65c98aec809139cb4ab9172de5e9e1fe881cb325b657bb3bbcd5aa20694"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08482",
    "kind": "arxiv",
    "version": 1
  }
}