Pith Number

pith:ZWVTCINJ

pith:2008:ZWVTCINJFTWIPCMHZFNGZ22VXO

not attested not anchored not stored refs pending

Global rough solutions to the cubic nonlinear Boussinesq equation

Felipe Linares, Luiz Gustavo Farah

arxiv:0809.3471 v2 · 2008-09-19 · 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{ZWVTCINJFTWIPCMHZFNGZ22VXO}

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	2026-05-18T04:40:09.586335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdab3121a92cec878987c95a6ceb55bbb23c7886477d046c4bdfc9d757f12e44

Aliases

arxiv: 0809.3471 · arxiv_version: 0809.3471v2 · doi: 10.48550/arxiv.0809.3471 · pith_short_12: ZWVTCINJFTWI · pith_short_16: ZWVTCINJFTWIPCMH · pith_short_8: ZWVTCINJ

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/ZWVTCINJFTWIPCMHZFNGZ22VXO \
  | 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: cdab3121a92cec878987c95a6ceb55bbb23c7886477d046c4bdfc9d757f12e44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c606e190834e2f9dead71d1fe2c180cf2053f39a57931a9ef589a4d4ff9a3b97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-09-19T22:41:16Z",
    "title_canon_sha256": "e9374fbe671744c0f65f503c08ba83cad2675abbc3e744d91e271aa8fc75b2bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.3471",
    "kind": "arxiv",
    "version": 2
  }
}