Pith Number

pith:Z6KINTBN

pith:2016:Z6KINTBNAXPR3XYRBMNTIE4B7V

not attested not anchored not stored refs pending

Large data mass-subcritical NLS: critical weighted bounds imply scattering

Jason Murphy, Monica Visan, Rowan Killip, Satoshi Masaki

arxiv:1606.01512 v1 · 2016-06-05 · 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{Z6KINTBNAXPR3XYRBMNTIE4B7V}

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	2026-05-18T00:40:08.244604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf9486cc2d05df1ddf110b1b341381fd7dff7262cbfebbe1c42d1a45e5242a21

Aliases

arxiv: 1606.01512 · arxiv_version: 1606.01512v1 · doi: 10.48550/arxiv.1606.01512 · pith_short_12: Z6KINTBNAXPR · pith_short_16: Z6KINTBNAXPR3XYR · pith_short_8: Z6KINTBN

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/Z6KINTBNAXPR3XYRBMNTIE4B7V \
  | 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: cf9486cc2d05df1ddf110b1b341381fd7dff7262cbfebbe1c42d1a45e5242a21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "361b2ad41f807a6f7f74034183cbae8389dff44caf61c7a49fea9803d87c2fbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-05T14:03:15Z",
    "title_canon_sha256": "7cc27dda81786d6725c732fdd5edaccb20396260663b8e284f85dfe2194efb63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01512",
    "kind": "arxiv",
    "version": 1
  }
}