Pith Number

pith:T564AHR4

pith:2015:T564AHR4ASDHOLB6NMILLBJEF4

not attested not anchored not stored refs pending

The Nehari manifold for fractional systems involving critical nonlinearities

Marco Squassina, Wenming Zou, Xiaoming He

arxiv:1509.02713 v4 · 2015-09-09 · 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{T564AHR4ASDHOLB6NMILLBJEF4}

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	2026-05-18T01:23:08.120815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f7dc01e3c0486772c3e6b10b585242f310577f596a389fb6bc3a6b10b17b832

Aliases

arxiv: 1509.02713 · arxiv_version: 1509.02713v4 · doi: 10.48550/arxiv.1509.02713 · pith_short_12: T564AHR4ASDH · pith_short_16: T564AHR4ASDHOLB6 · pith_short_8: T564AHR4

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/T564AHR4ASDHOLB6NMILLBJEF4 \
  | 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: 9f7dc01e3c0486772c3e6b10b585242f310577f596a389fb6bc3a6b10b17b832

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc094332916384761786b1aee67dbf29d256a88a97fdd86c9832abdb35a8a5bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-09T10:36:51Z",
    "title_canon_sha256": "0816aeb4190d6948c39d27b1ab5632a63623e61095e1b047a5a51c8b03ee17e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02713",
    "kind": "arxiv",
    "version": 4
  }
}