Pith Number

pith:V7LXOWRN

pith:2013:V7LXOWRNWYVI4JFXSXL2AAMKTY

not attested not anchored not stored refs pending

Multiplicity and asymptotic profile of 2-nodal solutions to a semilinear elliptic problem on a Riemannian manifold

Anna Maria Micheletti, M\'onica Clapp

arxiv:1301.0143 v1 · 2013-01-01 · 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{V7LXOWRNWYVI4JFXSXL2AAMKTY}

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	2026-05-18T03:37:28.083394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afd7775a2db62a8e24b795d7a0018a9e141a3947e308dad2c38db37c206846c6

Aliases

arxiv: 1301.0143 · arxiv_version: 1301.0143v1 · doi: 10.48550/arxiv.1301.0143 · pith_short_12: V7LXOWRNWYVI · pith_short_16: V7LXOWRNWYVI4JFX · pith_short_8: V7LXOWRN

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/V7LXOWRNWYVI4JFXSXL2AAMKTY \
  | 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: afd7775a2db62a8e24b795d7a0018a9e141a3947e308dad2c38db37c206846c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9ef83587fa80912fd8a60fe4f2f7869fd0af5fc39ec8ab50040d246655ee74c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-01T22:58:31Z",
    "title_canon_sha256": "3a5f9c29e3423c4825eef13e580db5b9c29bb92d7fd93078219b4bae6dbce71c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0143",
    "kind": "arxiv",
    "version": 1
  }
}