Pith Number

pith:4GCIP366

pith:2015:4GCIP366YSJZ2A3IHUCZOM6R7Z

not attested not anchored not stored refs pending

The ergodic problem for some subelliptic operators with unbounded coefficients

Claudio Marchi, Nicoletta Tchou (IRMAR), Paola Mannucci

arxiv:1510.08602 v2 · 2015-10-29 · 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{4GCIP366YSJZ2A3IHUCZOM6R7Z}

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	2026-05-18T01:22:33.615822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e18487efdec4939d03683d059733d1fe4865df6b4b30561368fc907a9d97ad49

Aliases

arxiv: 1510.08602 · arxiv_version: 1510.08602v2 · doi: 10.48550/arxiv.1510.08602 · pith_short_12: 4GCIP366YSJZ · pith_short_16: 4GCIP366YSJZ2A3I · pith_short_8: 4GCIP366

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/4GCIP366YSJZ2A3IHUCZOM6R7Z \
  | 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: e18487efdec4939d03683d059733d1fe4865df6b4b30561368fc907a9d97ad49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6cd36880aff735dced5ed38837b513aa6b0a51d6ce300a0320cf6d2e5577ec9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-29T08:51:11Z",
    "title_canon_sha256": "bac2985a128da4b74d301ffd37397ef3f522c66a6787f1cd2e15e9658336c517"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08602",
    "kind": "arxiv",
    "version": 2
  }
}