Pith Number

pith:KBN6PCBA

pith:2013:KBN6PCBAWET7IQQKSRLTLMEVDT

not attested not anchored not stored refs pending

Solutions of elliptic equations with a level surface parallel to the boundary: stability of the radial configuration

Giulio Ciraolo, Rolando Magnanini, Shigeru Sakaguchi

arxiv:1307.1257 v1 · 2013-07-04 · 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{KBN6PCBAWET7IQQKSRLTLMEVDT}

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	2026-05-18T03:19:14.262396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

505be78820b127f4420a945735b0951cc217db96ca71aed68b1dffabda726fa5

Aliases

arxiv: 1307.1257 · arxiv_version: 1307.1257v1 · doi: 10.48550/arxiv.1307.1257 · pith_short_12: KBN6PCBAWET7 · pith_short_16: KBN6PCBAWET7IQQK · pith_short_8: KBN6PCBA

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/KBN6PCBAWET7IQQKSRLTLMEVDT \
  | 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: 505be78820b127f4420a945735b0951cc217db96ca71aed68b1dffabda726fa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edcd7652f1bcb47a30539aa816e77141cf9b0a2b5a22ef8bde29148b21ff0338",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-04T10:10:53Z",
    "title_canon_sha256": "4d19403eed4a9a6bc9c9fe70830dda7bc576d6094632e2abd81632097e03e5b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1257",
    "kind": "arxiv",
    "version": 1
  }
}