Pith Number

pith:72Y3TYKK

pith:2007:72Y3TYKKC7D37KN4VS4OY2CG2H

not attested not anchored not stored refs pending

Adapted Linear-Nonlinear Decomposition And Global Well-posedness For Solutions To The Defocusing Cubic Wave Equation On $\mathbb{R}^{3}$

Tristan Roy

arxiv:0710.1115 v2 · 2007-10-05 · 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{72Y3TYKKC7D37KN4VS4OY2CG2H}

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	2026-05-18T00:42:18.374565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feb1b9e14a17c7bfa9bcacb8ec6846d1ccd7382007b732c0858b088e8996b844

Aliases

arxiv: 0710.1115 · arxiv_version: 0710.1115v2 · doi: 10.48550/arxiv.0710.1115 · pith_short_12: 72Y3TYKKC7D3 · pith_short_16: 72Y3TYKKC7D37KN4 · pith_short_8: 72Y3TYKK

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/72Y3TYKKC7D37KN4VS4OY2CG2H \
  | 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: feb1b9e14a17c7bfa9bcacb8ec6846d1ccd7382007b732c0858b088e8996b844

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b03d2365986708ca7f42b97dc0c4cbe10724702fff620044b048526018bfdb24",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-10-05T00:37:09Z",
    "title_canon_sha256": "4863ecf61f352cb1dd940397f9709f5915413878c14492efbfcbe0c71c701f77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.1115",
    "kind": "arxiv",
    "version": 2
  }
}