Pith Number

pith:VDYEKNJB

pith:2016:VDYEKNJBNN75W4TEIAR5XOOKGE

not attested not anchored not stored refs pending

Local smoothing for the quantum Liouville equation

Olivier Pinaud

arxiv:1603.06820 v2 · 2016-03-22 · 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{VDYEKNJBNN75W4TEIAR5XOOKGE}

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	2026-05-18T01:04:50.022282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f04535216b7fdb72644023dbb9ca310e3bd77f65b9362511a3ab7b48eb4e05

Aliases

arxiv: 1603.06820 · arxiv_version: 1603.06820v2 · doi: 10.48550/arxiv.1603.06820 · pith_short_12: VDYEKNJBNN75 · pith_short_16: VDYEKNJBNN75W4TE · pith_short_8: VDYEKNJB

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/VDYEKNJBNN75W4TEIAR5XOOKGE \
  | 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: a8f04535216b7fdb72644023dbb9ca310e3bd77f65b9362511a3ab7b48eb4e05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8363a6579f12b72577c790739079dfe6fac214ec3aa8a1afe39829c105b2e9ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-22T15:12:54Z",
    "title_canon_sha256": "81ca5ec588218a3943aea068794229f527c5901c6dd10a04f07e88ae8ae2a92b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06820",
    "kind": "arxiv",
    "version": 2
  }
}