Pith Number

pith:6ANQRVR2

pith:2014:6ANQRVR2WHT7WMLR6BZBLI6MCH

not attested not anchored not stored refs pending

Symmetry breaking for an elliptic equation involving the Fractional Laplacian

Pablo L. De N\'apoli

arxiv:1409.7421 v2 · 2014-09-25 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ANQRVR2WHT7WMLR6BZBLI6MCH}

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	2026-05-18T00:55:58.688140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f01b08d63ab1e7fb3171f07215a3cc11e01bca9840b01c96500d2ac40d3ed3a4

Aliases

arxiv: 1409.7421 · arxiv_version: 1409.7421v2 · doi: 10.48550/arxiv.1409.7421 · pith_short_12: 6ANQRVR2WHT7 · pith_short_16: 6ANQRVR2WHT7WMLR · pith_short_8: 6ANQRVR2

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/6ANQRVR2WHT7WMLR6BZBLI6MCH \
  | 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: f01b08d63ab1e7fb3171f07215a3cc11e01bca9840b01c96500d2ac40d3ed3a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93a7c55abf098acd012442f2172105ab97462b327f8f3f76ff55b91e4e975b1f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-25T21:13:25Z",
    "title_canon_sha256": "ee9c50299e153e84f1eda8d5bc217eaeeef0b7820cdadc219702e798ae761512"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7421",
    "kind": "arxiv",
    "version": 2
  }
}