Pith Number

pith:3244VRJP

pith:2010:3244VRJP2SO3VSZAFX37EMI2OD

not attested not anchored not stored refs pending

Global Well-Posedness and Scattering for the Defocusing Energy-Supercritical Cubic Nonlinear Wave Equation

Aynur Bulut

arxiv:1006.4168 v1 · 2010-06-21 · 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{3244VRJP2SO3VSZAFX37EMI2OD}

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	2026-05-18T01:37:02.741338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deb9cac52fd49dbacb202df7f2311a70ea093b0bd30985061a94df3ed96022cb

Aliases

arxiv: 1006.4168 · arxiv_version: 1006.4168v1 · doi: 10.48550/arxiv.1006.4168 · pith_short_12: 3244VRJP2SO3 · pith_short_16: 3244VRJP2SO3VSZA · pith_short_8: 3244VRJP

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/3244VRJP2SO3VSZAFX37EMI2OD \
  | 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: deb9cac52fd49dbacb202df7f2311a70ea093b0bd30985061a94df3ed96022cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbfd141c9d1df2813e6e3562c09291d1126abd3793d871389c32cecafdfb84b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-06-21T20:10:20Z",
    "title_canon_sha256": "c9b3bb2dd14388cb43b046c92e033e8b12e33185627c00105d6c6e6336debea7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4168",
    "kind": "arxiv",
    "version": 1
  }
}