Pith Number

pith:GFHZ3NJG

pith:2017:GFHZ3NJGX7L75RGQYT5LSCE3WR

not attested not anchored not stored refs pending

Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations

Alessio Figalli, Juan Luis Vazquez, Matteo Bonforte

arxiv:1710.02731 v3 · 2017-10-07 · 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{GFHZ3NJGX7L75RGQYT5LSCE3WR}

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	2026-05-18T00:23:52.855665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

314f9db526bfd7fec4d0c4fab9089bb47a0fc827045615d4c6c20ddd493240b4

Aliases

arxiv: 1710.02731 · arxiv_version: 1710.02731v3 · doi: 10.48550/arxiv.1710.02731 · pith_short_12: GFHZ3NJGX7L7 · pith_short_16: GFHZ3NJGX7L75RGQ · pith_short_8: GFHZ3NJG

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/GFHZ3NJGX7L75RGQYT5LSCE3WR \
  | 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: 314f9db526bfd7fec4d0c4fab9089bb47a0fc827045615d4c6c20ddd493240b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b30346b418fbaa569cfe35ce4965affd23171a2fed370a72856bd3bef040561d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-07T19:40:20Z",
    "title_canon_sha256": "0d554e4833bc56cd10045779c0c07021d94618d15aa63aea8e909eda1522a2b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02731",
    "kind": "arxiv",
    "version": 3
  }
}