Pith Number

pith:QOGU2D6K

pith:2018:QOGU2D6KDZJEBKP7TQ4UJDBLKY

not attested not anchored not stored refs pending

Radial solutions for the bilaplacian equation with vanishing or singular radial potentials

Marino Badiale, Sergio Rolando, Stefano Greco

arxiv:1806.01311 v1 · 2018-06-04 · 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{QOGU2D6KDZJEBKP7TQ4UJDBLKY}

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	2026-05-18T00:14:13.236930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

838d4d0fca1e5240a9ff9c39448c2b5634d0843b53597e520d82fea04ea3248d

Aliases

arxiv: 1806.01311 · arxiv_version: 1806.01311v1 · doi: 10.48550/arxiv.1806.01311 · pith_short_12: QOGU2D6KDZJE · pith_short_16: QOGU2D6KDZJEBKP7 · pith_short_8: QOGU2D6K

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/QOGU2D6KDZJEBKP7TQ4UJDBLKY \
  | 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: 838d4d0fca1e5240a9ff9c39448c2b5634d0843b53597e520d82fea04ea3248d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b85fe961d59df16a8a35ea5698cc1218a5f6032491243255398aba0605772ee",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-04T18:19:19Z",
    "title_canon_sha256": "061c21fabb7b2c9ab48b7dc75b332d53568452c7780da27b45f2914a19d528b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01311",
    "kind": "arxiv",
    "version": 1
  }
}