Pith Number

pith:K4ZXUN5G

pith:2018:K4ZXUN5GUNTQEWQWE7UVDXZLHT

not attested not anchored not stored refs pending

Null-controllability properties of the wave equation with a second order memory term

Sorin Micu, Umberto Biccari

arxiv:1807.03035 v2 · 2018-07-09 · 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{K4ZXUN5GUNTQEWQWE7UVDXZLHT}

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	2026-05-17T23:55:38.511861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57337a37a6a367025a1627e951df2b3ccd203cde963f2f5c9f2d86cb43bbb43e

Aliases

arxiv: 1807.03035 · arxiv_version: 1807.03035v2 · doi: 10.48550/arxiv.1807.03035 · pith_short_12: K4ZXUN5GUNTQ · pith_short_16: K4ZXUN5GUNTQEWQW · pith_short_8: K4ZXUN5G

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/K4ZXUN5GUNTQEWQWE7UVDXZLHT \
  | 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: 57337a37a6a367025a1627e951df2b3ccd203cde963f2f5c9f2d86cb43bbb43e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a26682efe67e86753643fba8e107940eb10a0c985f5cbcf936698d61ba5b3a58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-09T10:47:29Z",
    "title_canon_sha256": "4bb8f8685dce162f0affe7daa9b109171a7e7d0528f17bc406d544bc76d0ffe7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03035",
    "kind": "arxiv",
    "version": 2
  }
}