Pith Number

pith:KU4PZRVF

pith:2019:KU4PZRVFR6F6N45VMUYFPPVJXP

not attested not anchored not stored refs pending

Null-controllability properties of a fractional wave equation with a memory term

Mahamadi Warma, Umberto Biccari

arxiv:1901.10194 v1 · 2019-01-29 · 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{KU4PZRVFR6F6N45VMUYFPPVJXP}

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	2026-05-17T23:55:15.873217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5538fcc6a58f8be6f3b5653057bea9bbd90c6154b9a62a5a710be58a0fddb123

Aliases

arxiv: 1901.10194 · arxiv_version: 1901.10194v1 · doi: 10.48550/arxiv.1901.10194 · pith_short_12: KU4PZRVFR6F6 · pith_short_16: KU4PZRVFR6F6N45V · pith_short_8: KU4PZRVF

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/KU4PZRVFR6F6N45VMUYFPPVJXP \
  | 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: 5538fcc6a58f8be6f3b5653057bea9bbd90c6154b9a62a5a710be58a0fddb123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "723f8b700099610b05fb9c1e864ef2deb39f4deb8889cde02d25c57de80b6655",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-29T09:56:25Z",
    "title_canon_sha256": "ddd7ca68fb490a50a253520bf577f903c5cf36610ef827dbd3e1759537dc5f21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10194",
    "kind": "arxiv",
    "version": 1
  }
}