Pith Number

pith:XNY7SDWB

pith:2015:XNY7SDWBO6XXQTFMN6Q66YEA6Q

not attested not anchored not stored refs pending

Global dynamics above the ground state for the energy-critical Schrodinger equation with radial data

Kenji Nakanishi, Tristan Roy

arxiv:1510.04479 v1 · 2015-10-15 · 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{XNY7SDWBO6XXQTFMN6Q66YEA6Q}

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	2026-05-18T01:30:07.043598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb71f90ec177af784cac6fa1ef6080f405c1c84815b632059b42c3304c7b19b5

Aliases

arxiv: 1510.04479 · arxiv_version: 1510.04479v1 · doi: 10.48550/arxiv.1510.04479 · pith_short_12: XNY7SDWBO6XX · pith_short_16: XNY7SDWBO6XXQTFM · pith_short_8: XNY7SDWB

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/XNY7SDWBO6XXQTFMN6Q66YEA6Q \
  | 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: bb71f90ec177af784cac6fa1ef6080f405c1c84815b632059b42c3304c7b19b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5543d7c19df1119ad104c708dea64fd5f724d4b43c83d11afb4d2c21b9dfd969",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-15T11:54:34Z",
    "title_canon_sha256": "7c7352be9b423322806a7b59a597a4580444f020bc1b14699f98b26a90000b41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04479",
    "kind": "arxiv",
    "version": 1
  }
}