Pith Number

pith:4SGCKVMA

pith:2011:4SGCKVMABLPUUZJV2ZH7UBNJSB

not attested not anchored not stored refs pending

The radial defocusing energy-supercritical cubic nonlinear wave equation in R^{1+5}

Aynur Bulut

arxiv:1104.2002 v1 · 2011-04-11 · 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{4SGCKVMABLPUUZJV2ZH7UBNJSB}

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	2026-05-18T01:36:36.302849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e48c2555800adf4a6535d64ffa05a99056dcfd00895f5fdba14173148c98045f

Aliases

arxiv: 1104.2002 · arxiv_version: 1104.2002v1 · doi: 10.48550/arxiv.1104.2002 · pith_short_12: 4SGCKVMABLPU · pith_short_16: 4SGCKVMABLPUUZJV · pith_short_8: 4SGCKVMA

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/4SGCKVMABLPUUZJV2ZH7UBNJSB \
  | 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: e48c2555800adf4a6535d64ffa05a99056dcfd00895f5fdba14173148c98045f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eed52750a8fb96ce49b3fee184cd48be2646e51535097bb38e0a5f31670d51d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-11T17:07:06Z",
    "title_canon_sha256": "b09b9ff6330a0adc3b986ffbd5b66b87bf65c33d33ad0344d9e3770a7bd4c5b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2002",
    "kind": "arxiv",
    "version": 1
  }
}