Pith Number

pith:XWFU5Q5Y

pith:2012:XWFU5Q5YLP6L4TQ5OKH2HARSUS

not attested not anchored not stored refs pending

A Reduction Method for Semilinear Elliptic Equations and Solutions Concentrating on Spheres

Filomena Pacella, P.N.Srikanth

arxiv:1210.0782 v1 · 2012-10-02 · 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{XWFU5Q5YLP6L4TQ5OKH2HARSUS}

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	2026-05-18T02:55:11.536828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd8b4ec3b85bfcbe4e1d728fa38232a488229f35d0a365c732f5252376edb60a

Aliases

arxiv: 1210.0782 · arxiv_version: 1210.0782v1 · doi: 10.48550/arxiv.1210.0782 · pith_short_12: XWFU5Q5YLP6L · pith_short_16: XWFU5Q5YLP6L4TQ5 · pith_short_8: XWFU5Q5Y

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/XWFU5Q5YLP6L4TQ5OKH2HARSUS \
  | 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: bd8b4ec3b85bfcbe4e1d728fa38232a488229f35d0a365c732f5252376edb60a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "990a8068007aa4c2c0bea92c4790aa52a6be87af600a61dc1924b14f1b5354d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-02T14:16:18Z",
    "title_canon_sha256": "7b5c6a5d5cc03a43c92302d474415b80f9d723fbf2d08777d302f7aa790c97bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0782",
    "kind": "arxiv",
    "version": 1
  }
}