Pith Number

pith:NMX4HXPG

pith:2016:NMX4HXPGBQVESN7UASL2OS354I

not attested not anchored not stored refs pending

On the existence of the biharmonic Green kernels and the the adjoint biharmonic functions

Abderrahim Aslimani, Imad El Ghazi, Mohamed El Kadiri, Sabah Haddad

arxiv:1606.06397 v3 · 2016-06-21 · 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{NMX4HXPGBQVESN7UASL2OS354I}

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	2026-05-18T00:42:44.342062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b2fc3dde60c2a4937f40497a74b7de20976b4e162c67a532fb7715af71a7019

Aliases

arxiv: 1606.06397 · arxiv_version: 1606.06397v3 · doi: 10.48550/arxiv.1606.06397 · pith_short_12: NMX4HXPGBQVE · pith_short_16: NMX4HXPGBQVESN7U · pith_short_8: NMX4HXPG

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/NMX4HXPGBQVESN7UASL2OS354I \
  | 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: 6b2fc3dde60c2a4937f40497a74b7de20976b4e162c67a532fb7715af71a7019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "246019a1f16db4312553d085e4b789a0c06a27d699e56f5abc20ba7ea05a2e19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-21T02:02:52Z",
    "title_canon_sha256": "304bd085ba8325724597a3b99b19f55f96571e21bf27b3180fe7de9f62032c14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06397",
    "kind": "arxiv",
    "version": 3
  }
}