Pith Number

pith:OWTXUAOK

pith:2019:OWTXUAOKTUJVME3OLR5ZFSKQXG

not attested not anchored not stored refs pending

Time optimal observability for Grushin Schr\"odinger equation

Chenmin Sun, Nicolas Burq

arxiv:1910.03691 v3 · 2019-10-08 · 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{OWTXUAOKTUJVME3OLR5ZFSKQXG}

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	2026-07-05T05:16:16.929204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75a77a01ca9d1356136e5c7b92c950b9b4d7c204781cc2d93c6e7caa65e94679

Aliases

arxiv: 1910.03691 · arxiv_version: 1910.03691v3 · doi: 10.48550/arxiv.1910.03691 · pith_short_12: OWTXUAOKTUJV · pith_short_16: OWTXUAOKTUJVME3O · pith_short_8: OWTXUAOK

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/OWTXUAOKTUJVME3OLR5ZFSKQXG \
  | 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: 75a77a01ca9d1356136e5c7b92c950b9b4d7c204781cc2d93c6e7caa65e94679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a917ffe5200c140057f0a437062dfa4e22abfae28ecd4a8c19753ffbbbb7cd12",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-10-08T21:11:28Z",
    "title_canon_sha256": "f8fb24ad8982abd1d0f7e86f94ef65df0cbe1f1e347960c75bb7fcb8a60409e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.03691",
    "kind": "arxiv",
    "version": 3
  }
}