Pith Number

pith:A63PLVEX

pith:2015:A63PLVEXSHRPKR62VJM7JXCR2V

not attested not anchored not stored refs pending

The quantum Liouville-BGK equation and the moment problem

Florian M\'ehats, Olivier Pinaud

arxiv:1512.01504 v1 · 2015-12-04 · 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{A63PLVEXSHRPKR62VJM7JXCR2V}

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	2026-05-18T01:25:16.697003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07b6f5d49791e2f547daaa59f4dc51d54860065d81dbabfc2086a8573c8e8c8b

Aliases

arxiv: 1512.01504 · arxiv_version: 1512.01504v1 · doi: 10.48550/arxiv.1512.01504 · pith_short_12: A63PLVEXSHRP · pith_short_16: A63PLVEXSHRPKR62 · pith_short_8: A63PLVEX

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/A63PLVEXSHRPKR62VJM7JXCR2V \
  | 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: 07b6f5d49791e2f547daaa59f4dc51d54860065d81dbabfc2086a8573c8e8c8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e30d849f5d81e110eed33b8cd44a36fb99a96a59b44add1f3f7bd6f9f9a89ffe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-04T18:35:13Z",
    "title_canon_sha256": "0a4aa972ed13ca43aaec63d4fd06e0c9e2a557d82330dd8a5dbacdc0e6073f2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01504",
    "kind": "arxiv",
    "version": 1
  }
}