Pith Number

pith:6BISVU5M

pith:2011:6BISVU5MTPN6PU2VG36B77CXV2

not attested not anchored not stored refs pending

On the controllability of the Vlasov-Poisson system in the presence of external force fields

Daniel Han-Kwan (DMA), Olivier Glass (CEREMADE)

arxiv:1105.0985 v1 · 2011-05-05 · math.AP · cs.SY · 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{6BISVU5MTPN6PU2VG36B77CXV2}

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	2026-05-18T03:54:06.203083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0512ad3ac9bdbe7d35536fc1ffc57ae9fac274f65348ec2d76d9ecda14f0492

Aliases

arxiv: 1105.0985 · arxiv_version: 1105.0985v1 · doi: 10.48550/arxiv.1105.0985 · pith_short_12: 6BISVU5MTPN6 · pith_short_16: 6BISVU5MTPN6PU2V · pith_short_8: 6BISVU5M

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/6BISVU5MTPN6PU2VG36B77CXV2 \
  | 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: f0512ad3ac9bdbe7d35536fc1ffc57ae9fac274f65348ec2d76d9ecda14f0492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b34db995747c3c936271c98cc18de953ea465b2e875f9d6724a484d577c78a51",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-05T06:24:08Z",
    "title_canon_sha256": "d6672488a250d9cb384db5ec88378eac9dae7094d2a19cc30232a740b10e93a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0985",
    "kind": "arxiv",
    "version": 1
  }
}