Pith Number

pith:4BB5WCQI

pith:2012:4BB5WCQIWYVLVTYT5QA7CUGLFM

not attested not anchored not stored refs pending

A note on the global controllability of the semilinear wave equation

Camille Laurent (LJLL), Romain Joly (IF)

arxiv:1209.2605 v2 · 2012-09-12 · 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{4BB5WCQIWYVLVTYT5QA7CUGLFM}

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	2026-05-18T02:53:27.304584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e043db0a08b62abacf13ec01f150cb2b12cd0afa483b06485520b1262d7abda1

Aliases

arxiv: 1209.2605 · arxiv_version: 1209.2605v2 · doi: 10.48550/arxiv.1209.2605 · pith_short_12: 4BB5WCQIWYVL · pith_short_16: 4BB5WCQIWYVLVTYT · pith_short_8: 4BB5WCQI

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/4BB5WCQIWYVLVTYT5QA7CUGLFM \
  | 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: e043db0a08b62abacf13ec01f150cb2b12cd0afa483b06485520b1262d7abda1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed303eed0ff2b9c541f2876accfa687c9f8800e5008a2e97c5507ad821cbb8ea",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-12T13:14:44Z",
    "title_canon_sha256": "102bda302e86fb6db6e677ea4cb4ed1e5d3b408695ebbc53b58eb9db2157d98d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2605",
    "kind": "arxiv",
    "version": 2
  }
}