Pith Number

pith:QRJFC45D

pith:2016:QRJFC45DVLFGUNXFHVWQCMZNMA

not attested not anchored not stored refs pending

Uniform observability estimates for linear waves

Camille Laurent, Matthieu L\'eautaud

arxiv:1601.05783 v1 · 2016-01-21 · math.AP · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QRJFC45DVLFGUNXFHVWQCMZNMA}

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	2026-05-18T01:22:12.967521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84525173a3aaca6a36e53d6d01332d601bd910cf9bb367d8732aaa891866e8e3

Aliases

arxiv: 1601.05783 · arxiv_version: 1601.05783v1 · doi: 10.48550/arxiv.1601.05783 · pith_short_12: QRJFC45DVLFG · pith_short_16: QRJFC45DVLFGUNXF · pith_short_8: QRJFC45D

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/QRJFC45DVLFGUNXFHVWQCMZNMA \
  | 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: 84525173a3aaca6a36e53d6d01332d601bd910cf9bb367d8732aaa891866e8e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d06791e97e818781bce9874321dbfb8e8338c008b44485dffc57b10f56eb901f",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-21T20:53:34Z",
    "title_canon_sha256": "89fbb305b07ddfb5293e3f13f8448c680477cc04fbf16aef5b7ed0678958cf56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05783",
    "kind": "arxiv",
    "version": 1
  }
}