Pith Number

pith:W6B6IXGT

pith:2016:W6B6IXGTT4WVCPZJ57SMH2JA72

not attested not anchored not stored refs pending

Nonlinear equations involving the square root of the Laplacian

Du\v{s}an D. Repov\v{s}, Giovanni Molica Bisci, Vincenzo Ambrosio

arxiv:1611.01763 v2 · 2016-11-06 · 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{W6B6IXGTT4WVCPZJ57SMH2JA72}

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	2026-05-17T23:39:37.348636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b783e45cd39f2d513f29efe4c3e920fe83aaf9c912bc5cc91033473bde0ece74

Aliases

arxiv: 1611.01763 · arxiv_version: 1611.01763v2 · doi: 10.48550/arxiv.1611.01763 · pith_short_12: W6B6IXGTT4WV · pith_short_16: W6B6IXGTT4WVCPZJ · pith_short_8: W6B6IXGT

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/W6B6IXGTT4WVCPZJ57SMH2JA72 \
  | 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: b783e45cd39f2d513f29efe4c3e920fe83aaf9c912bc5cc91033473bde0ece74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5229d20b355250ccb68f5e36396c785d3034e6c1583d3f2ce885f08b9ae91508",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-06T12:03:00Z",
    "title_canon_sha256": "f6dbbc8a1c92476d74b15ab94dad31923340d2684eaa33739a36271a6e275430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01763",
    "kind": "arxiv",
    "version": 2
  }
}