Pith Number

pith:CZOF3IF3

pith:2018:CZOF3IF36FSXUUIFHDCPYACRYO

not attested not anchored not stored refs pending

Optimal indirect stability of a weakly damped elastic abstract system of second order equations coupled by velocities

Ali Wehbe, Farah Abdallah, Mouhammad Ghader, Yacine Chitour

arxiv:1808.10256 v1 · 2018-08-30 · 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{CZOF3IF36FSXUUIFHDCPYACRYO}

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	2026-05-18T00:06:49.327768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

165c5da0bbf1657a510538c4fc0051c3999f2d5ec3f554292b5b8f261da4fc69

Aliases

arxiv: 1808.10256 · arxiv_version: 1808.10256v1 · doi: 10.48550/arxiv.1808.10256 · pith_short_12: CZOF3IF36FSX · pith_short_16: CZOF3IF36FSXUUIF · pith_short_8: CZOF3IF3

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/CZOF3IF36FSXUUIFHDCPYACRYO \
  | 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: 165c5da0bbf1657a510538c4fc0051c3999f2d5ec3f554292b5b8f261da4fc69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1085e2ad83921acc7cd06e46981bc8013a791776291e1e042f50f59b1a4fae5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-30T13:06:00Z",
    "title_canon_sha256": "007abb25fdae19975bf3a810e9b8555247742dcf87f116c21532afff06eb7c25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10256",
    "kind": "arxiv",
    "version": 1
  }
}