Pith Number

pith:R5OA4NF3

pith:2016:R5OA4NF3TSB76QX25PEH4MUN4C

not attested not anchored not stored refs pending

Two-bubble nodal solutions for slightly subcritical Fractional Laplacian

Qianqiao Guo, Yunyun Hu

arxiv:1602.06102 v1 · 2016-02-19 · 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{R5OA4NF3TSB76QX25PEH4MUN4C}

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	2026-05-18T01:20:21.590070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f5c0e34bb9c83ff42faebc87e328de0bf1324a91c0e54a80de404aac2a01c58

Aliases

arxiv: 1602.06102 · arxiv_version: 1602.06102v1 · doi: 10.48550/arxiv.1602.06102 · pith_short_12: R5OA4NF3TSB7 · pith_short_16: R5OA4NF3TSB76QX2 · pith_short_8: R5OA4NF3

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/R5OA4NF3TSB76QX25PEH4MUN4C \
  | 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: 8f5c0e34bb9c83ff42faebc87e328de0bf1324a91c0e54a80de404aac2a01c58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23f085772dcc584b2451d7b9da382cde10a938fdd7c3faa6952a677fb3661045",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-19T10:26:31Z",
    "title_canon_sha256": "ffd91d28e308eb8af026be69657c7c6417d22cca1abe69ea0418f8872380a4ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06102",
    "kind": "arxiv",
    "version": 1
  }
}