Pith Number

pith:CCU6XU3V

pith:2019:CCU6XU3VDDGSB4ONLMJV7F4L2L

not attested not anchored not stored refs pending

Existence, Uniqueness and Regularity of Piezoelectric Partial Differential Equations

Benjamin Jurgelucks, Tom Lahmer, Veronika Schulze

arxiv:1907.04555 v1 · 2019-07-10 · 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{CCU6XU3VDDGSB4ONLMJV7F4L2L}

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	2026-05-17T23:40:59.901600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10a9ebd37518cd20f1cd5b135f978bd2fa0ce465b3b42c870c685adde6d4c0f3

Aliases

arxiv: 1907.04555 · arxiv_version: 1907.04555v1 · doi: 10.48550/arxiv.1907.04555 · pith_short_12: CCU6XU3VDDGS · pith_short_16: CCU6XU3VDDGSB4ON · pith_short_8: CCU6XU3V

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/CCU6XU3VDDGSB4ONLMJV7F4L2L \
  | 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: 10a9ebd37518cd20f1cd5b135f978bd2fa0ce465b3b42c870c685adde6d4c0f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c5259d29d46dc92b8213fbc32d8123ba122d3a68e540e112b4a6937afed309a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-10T07:56:23Z",
    "title_canon_sha256": "8dee9211647350d26ea07fe0ff8d8a3c5566f5c6241e0a47501315d95702e10d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04555",
    "kind": "arxiv",
    "version": 1
  }
}