Pith Number

pith:BZIE4V75

pith:2012:BZIE4V75IIANCOFXCL3OKLDDSM

not attested not anchored not stored refs pending

On the controllability of the relativistic Vlasov-Maxwell system

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

arxiv:1211.7236 v1 · 2012-11-30 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZIE4V75IIANCOFXCL3OKLDDSM}

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	2026-05-18T03:39:31.189229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e504e57fd4200d138b712f6e52c639310766bca8a79e6557bbd367af7013364

Aliases

arxiv: 1211.7236 · arxiv_version: 1211.7236v1 · doi: 10.48550/arxiv.1211.7236 · pith_short_12: BZIE4V75IIAN · pith_short_16: BZIE4V75IIANCOFX · pith_short_8: BZIE4V75

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/BZIE4V75IIANCOFXCL3OKLDDSM \
  | 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: 0e504e57fd4200d138b712f6e52c639310766bca8a79e6557bbd367af7013364

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65f7088f7933cf48fc91a4248d78c4f77db792273793aa768b5552345ea6824b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-30T12:59:19Z",
    "title_canon_sha256": "de88cbf829d7deb35b95b2a290806bb07e9e6f70b93ea5dae59c74b3a9a225a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7236",
    "kind": "arxiv",
    "version": 1
  }
}