Pith Number

pith:MDJOMB2D

pith:2014:MDJOMB2DD7IX7TJ4TCGNGZYKZN

not attested not anchored not stored refs pending

Spherically averaged maximal function and scattering for the 2D cubic derivative Schr\"odinger equation

Zihua Guo

arxiv:1407.0492 v2 · 2014-07-02 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDJOMB2DD7IX7TJ4TCGNGZYKZN}

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	2026-05-18T01:22:14.937978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60d2e607431fd17fcd3c988cd3670acb69b110eb9163cf592bc51a3c6ea9aaab

Aliases

arxiv: 1407.0492 · arxiv_version: 1407.0492v2 · doi: 10.48550/arxiv.1407.0492 · pith_short_12: MDJOMB2DD7IX · pith_short_16: MDJOMB2DD7IX7TJ4 · pith_short_8: MDJOMB2D

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/MDJOMB2DD7IX7TJ4TCGNGZYKZN \
  | 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: 60d2e607431fd17fcd3c988cd3670acb69b110eb9163cf592bc51a3c6ea9aaab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8fcc3f3afc1ab14983917fe793c109dd531bd9fd515d00e3cd523321969fcf1",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-02T09:22:23Z",
    "title_canon_sha256": "77abc13e651d3816fb1ad0c7674daed433ed836ea5a794f6cb53a1e32721293a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0492",
    "kind": "arxiv",
    "version": 2
  }
}