Pith Number

pith:JW4WMEME

pith:2010:JW4WMEME4BAYFTKBRP57ZDB5L6

not attested not anchored not stored refs pending

Positive solutions for singularly perturbed nonlinear elliptic problem on manifolds via Morse theory

Anna Maria Micheletti, Marco G. Ghimenti

arxiv:1012.5672 v1 · 2010-12-27 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JW4WMEME4BAYFTKBRP57ZDB5L6}

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	2026-05-18T04:32:22.595445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4db9661184e04182cd418bfbfc8c3d5fbe2abac7c13fd12ee3d893b3d08d777c

Aliases

arxiv: 1012.5672 · arxiv_version: 1012.5672v1 · doi: 10.48550/arxiv.1012.5672 · pith_short_12: JW4WMEME4BAY · pith_short_16: JW4WMEME4BAYFTKB · pith_short_8: JW4WMEME

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/JW4WMEME4BAYFTKBRP57ZDB5L6 \
  | 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: 4db9661184e04182cd418bfbfc8c3d5fbe2abac7c13fd12ee3d893b3d08d777c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29d836123e1636a618f5aec33de067b921aa132a615e45c6f35e661965a900c2",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-27T21:47:27Z",
    "title_canon_sha256": "3953a6ef4fb2ba4de96315468e1652bb7ac5eed155644d780313264ef0087e71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5672",
    "kind": "arxiv",
    "version": 1
  }
}