Pith Number

pith:RMJZZXU5

pith:2013:RMJZZXU5KYH22Y7CX5HHCWPLMY

not attested not anchored not stored refs pending

Fine singularity analysis of solutions to Laplace equation

Adam Kubica, Piotr Rybka

arxiv:1307.0115 v2 · 2013-06-29 · 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{RMJZZXU5KYH22Y7CX5HHCWPLMY}

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	2026-05-18T03:11:59.082567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b139cde9d560fad63e2bf4e7159eb662b310e587a69587dff9786b4d58e20c1

Aliases

arxiv: 1307.0115 · arxiv_version: 1307.0115v2 · doi: 10.48550/arxiv.1307.0115 · pith_short_12: RMJZZXU5KYH2 · pith_short_16: RMJZZXU5KYH22Y7C · pith_short_8: RMJZZXU5

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/RMJZZXU5KYH22Y7CX5HHCWPLMY \
  | 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: 8b139cde9d560fad63e2bf4e7159eb662b310e587a69587dff9786b4d58e20c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f504343c6de6a92f9e8a5b44ad937a99133e05a4d85c9ad3f8776a635c160f9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-29T15:22:30Z",
    "title_canon_sha256": "956e63d5f76053b7be93aaeb6d2fd547b6fab4f80e9091d9aebe47328de61c15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0115",
    "kind": "arxiv",
    "version": 2
  }
}