Pith Number

pith:NF3BYADL

pith:2019:NF3BYADL3IDXUEMBKLRYY6JYDV

not attested not anchored not stored refs pending

Stability of Euler-Lagrange type cubic functional equations in quasi-Banach spaces

Anurak Thanyacharoen, Nguyen Van Dung, Wutiphol Sintunavarat

arxiv:1906.03010 v1 · 2019-06-07 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NF3BYADL3IDXUEMBKLRYY6JYDV}

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	2026-05-17T23:43:55.374112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69761c006bda077a118152e38c79381d577fff9e81d27b923ae8cc8801144106

Aliases

arxiv: 1906.03010 · arxiv_version: 1906.03010v1 · doi: 10.48550/arxiv.1906.03010 · pith_short_12: NF3BYADL3IDX · pith_short_16: NF3BYADL3IDXUEMB · pith_short_8: NF3BYADL

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/NF3BYADL3IDXUEMBKLRYY6JYDV \
  | 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: 69761c006bda077a118152e38c79381d577fff9e81d27b923ae8cc8801144106

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "481e0e985795c7303b5d5f86f0a20d62730d0e0638848e087c2fa0715ebcc08e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-06-07T11:08:43Z",
    "title_canon_sha256": "844ca3da398dbce261704d7365b46f32999016431feae5ba3e080f9f5ff56648"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03010",
    "kind": "arxiv",
    "version": 1
  }
}