Pith Number

pith:J2SZIOIX

pith:2016:J2SZIOIXWQZ4USWVMUDLW75BXX

not attested not anchored not stored refs pending

Geometric control condition for the wave equation with a time-dependent observation domain

Emmanuel Tr\'elat (IUF, Gilles Lebeau (JAD), IUF), J\'er\^ome Le Rousseau (LAGA, LJLL), Peppino Terpolilli (CSTJF)

arxiv:1607.01527 v2 · 2016-07-06 · 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{J2SZIOIXWQZ4USWVMUDLW75BXX}

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	2026-05-18T00:45:54.359469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ea5943917b433ca4ad56506bb7fa1bdf5e4ae3b12308ed4035f13e48d2f2844

Aliases

arxiv: 1607.01527 · arxiv_version: 1607.01527v2 · doi: 10.48550/arxiv.1607.01527 · pith_short_12: J2SZIOIXWQZ4 · pith_short_16: J2SZIOIXWQZ4USWV · pith_short_8: J2SZIOIX

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/J2SZIOIXWQZ4USWVMUDLW75BXX \
  | 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: 4ea5943917b433ca4ad56506bb7fa1bdf5e4ae3b12308ed4035f13e48d2f2844

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0b7c7321e47c7f252e9445a74aa9dabf50fe25f8ad90783879fc3c5d3733456",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-06T09:09:09Z",
    "title_canon_sha256": "6e84991df57ce3fc3c6d3152126a4de6b7eb6656952a4ebfe6c7b452161f4882"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01527",
    "kind": "arxiv",
    "version": 2
  }
}