Pith Number

pith:T5XIAOU4

pith:2009:T5XIAOU4IABUNFDG4FQ5ZPMVWO

not attested not anchored not stored refs pending

Multiplicity of positive solutions for nonlinear field equations in $\R^{N}$

Claudio Bonanno

arxiv:0901.4459 v4 · 2009-01-28 · 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{T5XIAOU4IABUNFDG4FQ5ZPMVWO}

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	2026-05-18T03:28:19.959836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f6e803a9c4003469466e161dcbd95b39a03a8c02428fa761e2c6a4810fa22d8

Aliases

arxiv: 0901.4459 · arxiv_version: 0901.4459v4 · doi: 10.48550/arxiv.0901.4459 · pith_short_12: T5XIAOU4IABU · pith_short_16: T5XIAOU4IABUNFDG · pith_short_8: T5XIAOU4

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/T5XIAOU4IABUNFDG4FQ5ZPMVWO \
  | 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: 9f6e803a9c4003469466e161dcbd95b39a03a8c02428fa761e2c6a4810fa22d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88d8e87a30a388eeb997919f3395f6d87f1a7416a5950e93512f128138f4c054",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-01-28T13:58:22Z",
    "title_canon_sha256": "74a0b3b92c2e079fbc3d4b467ceefe4d3f0abe430768ffd4dbb50a9dfcca60ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.4459",
    "kind": "arxiv",
    "version": 4
  }
}