Pith Number

pith:UPO2CJRD

pith:2015:UPO2CJRDZYQKLELHAXAKDPA325

not attested not anchored not stored refs pending

Existence of solution for a nonlocal problem in $\R^N$ via bifurcation theory

Claudianor O. Alves, Marco A. S. Souto, Romildo N. de Lima

arxiv:1509.05294 v1 · 2015-09-17 · 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{UPO2CJRDZYQKLELHAXAKDPA325}

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	2026-05-18T01:32:44.212548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3dda12623ce20a5916705c0a1bc1bd7496ba81048ca8715ea9d114b8814fc9e

Aliases

arxiv: 1509.05294 · arxiv_version: 1509.05294v1 · doi: 10.48550/arxiv.1509.05294 · pith_short_12: UPO2CJRDZYQK · pith_short_16: UPO2CJRDZYQKLELH · pith_short_8: UPO2CJRD

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/UPO2CJRDZYQKLELHAXAKDPA325 \
  | 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: a3dda12623ce20a5916705c0a1bc1bd7496ba81048ca8715ea9d114b8814fc9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e57573b987028c868adf662c162536d97e8a8ddbac286710c73d44436d9348ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-17T15:35:38Z",
    "title_canon_sha256": "ab86c4d1b3df22bbc1e3e0fd16c6ddf69761be81911406d531283c832eaa7846"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05294",
    "kind": "arxiv",
    "version": 1
  }
}