Pith Number

pith:UCBJVGA5

pith:2012:UCBJVGA5ETNQ5JXNWM7LDUL3RF

not attested not anchored not stored refs pending

Vanishing properties of sign changing solutions to p-Laplace type equations in the plane

Niko Marola, Seppo Granlund

arxiv:1205.0785 v2 · 2012-05-03 · 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{UCBJVGA5ETNQ5JXNWM7LDUL3RF}

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	2026-05-18T03:45:33.189129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0829a981d24db0ea6edb33eb1d17b894719fa463c76c1829ea254d4d39ea831

Aliases

arxiv: 1205.0785 · arxiv_version: 1205.0785v2 · doi: 10.48550/arxiv.1205.0785 · pith_short_12: UCBJVGA5ETNQ · pith_short_16: UCBJVGA5ETNQ5JXN · pith_short_8: UCBJVGA5

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/UCBJVGA5ETNQ5JXNWM7LDUL3RF \
  | 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: a0829a981d24db0ea6edb33eb1d17b894719fa463c76c1829ea254d4d39ea831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c500d3c03cb26e92892cabac4731f05607eec8a206c33cf53ac8113b83685ea7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-03T18:15:46Z",
    "title_canon_sha256": "09ad22136a0041f7ffcc03b3415943e85af332ef5508ae6d8c3b0a8b6f2f0946"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0785",
    "kind": "arxiv",
    "version": 2
  }
}