Pith Number

pith:FNGXCBCI

pith:2012:FNGXCBCI4KS5KH6VDEM3PNCXHL

not attested not anchored not stored refs pending

Asymptotic Behavior of Linear Almost Periodic Differential Equations

Bui Xuan Dieu, Luu Hoang Duc, Nguyen Van Minh, Stefan Siegmund

arxiv:1212.0813 v3 · 2012-12-04 · math.DS · math.CA · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNGXCBCI4KS5KH6VDEM3PNCXHL}

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	2026-05-18T02:46:31.465624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b4d710448e2a5d51fd51919b7b4573ac79785a146b3373be0f5f1018e164efd

Aliases

arxiv: 1212.0813 · arxiv_version: 1212.0813v3 · doi: 10.48550/arxiv.1212.0813 · pith_short_12: FNGXCBCI4KS5 · pith_short_16: FNGXCBCI4KS5KH6V · pith_short_8: FNGXCBCI

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/FNGXCBCI4KS5KH6VDEM3PNCXHL \
  | 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: 2b4d710448e2a5d51fd51919b7b4573ac79785a146b3373be0f5f1018e164efd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d716a71a7351f041e953fa451ee1111ff9ffc2c415b7bdca1b29b79ca387dc40",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-12-04T18:18:45Z",
    "title_canon_sha256": "072abb4417ed694e102a6271926d7a49fbade291e788a92bc9e6afc02b8b716a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0813",
    "kind": "arxiv",
    "version": 3
  }
}