Pith Number

pith:DHEPC3BG

pith:2013:DHEPC3BGEWNFBN36QKRCVKT34V

not attested not anchored not stored refs pending

Multiple periodic solutions to a discrete p(k)- Laplacian problem

Marek Galewski, Renata Wieteska

arxiv:1311.1596 v1 · 2013-11-07 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DHEPC3BGEWNFBN36QKRCVKT34V}

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	2026-05-18T03:07:43.793744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19c8f16c26259a50b77e82a22aaa7be5563d28fb1b665f4d6dcbc1c4dbf3d653

Aliases

arxiv: 1311.1596 · arxiv_version: 1311.1596v1 · doi: 10.48550/arxiv.1311.1596 · pith_short_12: DHEPC3BGEWNF · pith_short_16: DHEPC3BGEWNFBN36 · pith_short_8: DHEPC3BG

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/DHEPC3BGEWNFBN36QKRCVKT34V \
  | 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: 19c8f16c26259a50b77e82a22aaa7be5563d28fb1b665f4d6dcbc1c4dbf3d653

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ed0f8b415e389b4de34a8fb02730b632296205b28aa1de2a4f0f20c262e7321",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-11-07T08:20:20Z",
    "title_canon_sha256": "acb8da18db0666f31f101a5726bd74688362f5247646a68ffdf6642632dcaf28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1596",
    "kind": "arxiv",
    "version": 1
  }
}