Pith Number

pith:MO6BER6L

pith:2009:MO6BER6LNXH3E7RCINQE5CJ773

not attested not anchored not stored refs pending

Late-time attractor for the cubic nonlinear wave equation

Nikodem Szpak

arxiv:0909.1264 v2 · 2009-09-07 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MO6BER6LNXH3E7RCINQE5CJ773}

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.

Cited by

1 paper in Pith

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay

Receipt and verification

First computed	2026-05-18T04:42:03.964535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63bc1247cb6dcfb27e2243604e893ffeca67d5006cd12f93c8e50e60be2c8df1

Aliases

arxiv: 0909.1264 · arxiv_version: 0909.1264v2 · doi: 10.48550/arxiv.0909.1264 · pith_short_12: MO6BER6LNXH3 · pith_short_16: MO6BER6LNXH3E7RC · pith_short_8: MO6BER6L

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/MO6BER6LNXH3E7RCINQE5CJ773 \
  | 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: 63bc1247cb6dcfb27e2243604e893ffeca67d5006cd12f93c8e50e60be2c8df1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2384c447cdb6a81e9e0e2744b8296de6e7550f83cd7b5382f843d3554936158",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-09-07T14:43:03Z",
    "title_canon_sha256": "df51dd0bd6c5ac656f974fd41d529a454063d89e20c015df9f677768b55e3de0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1264",
    "kind": "arxiv",
    "version": 2
  }
}