Pith Number

pith:LAZ3PBYU

pith:2013:LAZ3PBYU4HZHTSW4BVRO5DY3WM

not attested not anchored not stored refs pending

On Liouville transport equation with a force field in $BV_{loc}$

Maxime Hauray

arxiv:1310.0976 v1 · 2013-10-03 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LAZ3PBYU4HZHTSW4BVRO5DY3WM}

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	2026-05-18T03:11:24.874157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5833b78714e1f279cadc0d62ee8f1bb31e0ea5a37c9a0491f46590c48d99844c

Aliases

arxiv: 1310.0976 · arxiv_version: 1310.0976v1 · doi: 10.48550/arxiv.1310.0976 · pith_short_12: LAZ3PBYU4HZH · pith_short_16: LAZ3PBYU4HZHTSW4 · pith_short_8: LAZ3PBYU

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/LAZ3PBYU4HZHTSW4BVRO5DY3WM \
  | 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: 5833b78714e1f279cadc0d62ee8f1bb31e0ea5a37c9a0491f46590c48d99844c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "decc76838aa531551826a03d9b7eef14c18ea35b3cbef1cd62461e5e7e672570",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-03T13:31:57Z",
    "title_canon_sha256": "6d0aea725128c72716e9ca7f6679fa516caaa401fae0d5fb628027695d9529c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0976",
    "kind": "arxiv",
    "version": 1
  }
}