Pith Number

pith:MTGGDE5I

pith:2016:MTGGDE5I2UYCCN2GPMHCACFKLT

not attested not anchored not stored refs pending

Sign-changing solutions for a class of fractional Schr\"odinger equations with vanishing potentials

Teresa Isernia, Vincenzo Ambrosio

arxiv:1609.09003 v3 · 2016-09-28 · 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{MTGGDE5I2UYCCN2GPMHCACFKLT}

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	2026-05-18T00:28:41.235660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64cc6193a8d5302137467b0e2008aa5ccdbbff4c05bec6a30ffeeafd9243e72d

Aliases

arxiv: 1609.09003 · arxiv_version: 1609.09003v3 · doi: 10.48550/arxiv.1609.09003 · pith_short_12: MTGGDE5I2UYC · pith_short_16: MTGGDE5I2UYCCN2G · pith_short_8: MTGGDE5I

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/MTGGDE5I2UYCCN2GPMHCACFKLT \
  | 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: 64cc6193a8d5302137467b0e2008aa5ccdbbff4c05bec6a30ffeeafd9243e72d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "660e7f4df685a67b1731df731dbec8e3deb22a55ec80127d5aa160729b364a61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-28T16:50:01Z",
    "title_canon_sha256": "c383395e73e26ca8aaf82d399299b9bdde09a5a19b8aed11bb2b1dccd847e696"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09003",
    "kind": "arxiv",
    "version": 3
  }
}