Pith Number

pith:NOJOVUWK

pith:2021:NOJOVUWKAHZ7PH2B6UB56Z76CC

not attested not anchored not stored refs pending

Exact observability properties of subelliptic wave and Schr{\"o}dinger equations

CaGE ), Cyril Letrouit (LJLL (UMR\_7598), DMA

arxiv:2101.05489 v2 · 2021-01-14 · math.AP · math.OC · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NOJOVUWKAHZ7PH2B6UB56Z76CC}

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	2026-07-05T03:22:20.724245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b92ead2ca01f3f79f41f503df67fe10b254a73485f0a1e0c59e4437a1b43fc1

Aliases

arxiv: 2101.05489 · arxiv_version: 2101.05489v2 · doi: 10.48550/arxiv.2101.05489 · pith_short_12: NOJOVUWKAHZ7 · pith_short_16: NOJOVUWKAHZ7PH2B · pith_short_8: NOJOVUWK

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/NOJOVUWKAHZ7PH2B6UB56Z76CC \
  | 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: 6b92ead2ca01f3f79f41f503df67fe10b254a73485f0a1e0c59e4437a1b43fc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08801222698dee893360baef712181cdf9d0241e21d6a7d31d1700cf810da873",
    "cross_cats_sorted": [
      "math.OC",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-01-14T07:49:40Z",
    "title_canon_sha256": "d204fe0837dfa4bb25996c7287c2c6563f3439f1a3755946ea9bda3721a917b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.05489",
    "kind": "arxiv",
    "version": 2
  }
}