Pith Number

pith:J73PHBAG

pith:2010:J73PHBAGGB7LBF2KDUN3CCZKSB

not attested not anchored not stored refs pending

Positive solutions of singularly perturbed nonlinear elliptic problem on Riemannian manifolds with boundary

Anna Maria Micheletti, Marco G. Ghimenti

arxiv:1012.5668 v1 · 2010-12-27 · 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{J73PHBAGGB7LBF2KDUN3CCZKSB}

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	2026-05-18T04:32:22.614677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ff6f38406307eb0974a1d1bb10b2a904d6458f33f78a31ca4af1969c4671b5c

Aliases

arxiv: 1012.5668 · arxiv_version: 1012.5668v1 · doi: 10.48550/arxiv.1012.5668 · pith_short_12: J73PHBAGGB7L · pith_short_16: J73PHBAGGB7LBF2K · pith_short_8: J73PHBAG

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/J73PHBAGGB7LBF2KDUN3CCZKSB \
  | 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: 4ff6f38406307eb0974a1d1bb10b2a904d6458f33f78a31ca4af1969c4671b5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bcfe7d60d4567d60f822948726fb76cfe6d1f3900ae7b5045fb59dae20cecce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-27T21:35:32Z",
    "title_canon_sha256": "afd0f5ca2ab4db7cffe3f7cc8115e7a6e5c1cb3df79585c8fd1b0b8719198f3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5668",
    "kind": "arxiv",
    "version": 1
  }
}