Pith Number

pith:Z5YD2YEY

pith:2016:Z5YD2YEYMX6KHLBTJGMVQHHGKA

not attested not anchored not stored refs pending

Infinitely many solutions for three classes of self-similar equations, with the $p$-Laplace operator

Philip Korman

arxiv:1603.05329 v1 · 2016-03-17 · 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{Z5YD2YEYMX6KHLBTJGMVQHHGKA}

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	2026-05-18T01:18:56.637384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf703d609865fca3ac334999581ce6500a80c07975ad52b699072a6b4fe76941

Aliases

arxiv: 1603.05329 · arxiv_version: 1603.05329v1 · doi: 10.48550/arxiv.1603.05329 · pith_short_12: Z5YD2YEYMX6K · pith_short_16: Z5YD2YEYMX6KHLBT · pith_short_8: Z5YD2YEY

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/Z5YD2YEYMX6KHLBTJGMVQHHGKA \
  | 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: cf703d609865fca3ac334999581ce6500a80c07975ad52b699072a6b4fe76941

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9f26715c9fa3e4b802e145779b01f3907a396d47994ba42cfa35bd2a81cc13f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-17T01:26:34Z",
    "title_canon_sha256": "c9c4768d9404e3a7548ba062f941f0efefd02cb49b868ad6bbf47b7fb21dde5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05329",
    "kind": "arxiv",
    "version": 1
  }
}