Pith Number

pith:KDTAVZEC

pith:2013:KDTAVZECB3YUOX2VQMAF5FC5HF

not attested not anchored not stored refs pending

Boundary conditions and subelliptic estimates for geometric Kramers-Fokker-Planck operators on manifolds with boundaries

Francis Nier (IRMAR)

arxiv:1309.5070 v2 · 2013-09-19 · 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{KDTAVZECB3YUOX2VQMAF5FC5HF}

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	2026-05-18T03:00:25.881455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50e60ae4820ef1475f5583005e945d39616195375fb1ccd7e58c22347f1c799a

Aliases

arxiv: 1309.5070 · arxiv_version: 1309.5070v2 · doi: 10.48550/arxiv.1309.5070 · pith_short_12: KDTAVZECB3YU · pith_short_16: KDTAVZECB3YUOX2V · pith_short_8: KDTAVZEC

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/KDTAVZECB3YUOX2VQMAF5FC5HF \
  | 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: 50e60ae4820ef1475f5583005e945d39616195375fb1ccd7e58c22347f1c799a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bffc8a6f8fb6887d88ee28b11a8ec14e8f7ca4680d3f87722f98dc41748d41ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-19T18:36:15Z",
    "title_canon_sha256": "55e00447c5b4fdd8475d196b106531231c1948935613a5d6f98d0728b75ab377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5070",
    "kind": "arxiv",
    "version": 2
  }
}