Pith Number

pith:KJWE6HKO

pith:2016:KJWE6HKOLSZJ44STY3Z6REOEHK

not attested not anchored not stored refs pending

A Liouville theorem for elliptic systems with degenerate ergodic coefficients

Benjamin Fehrman, Felix Otto, Peter Bella

arxiv:1605.00687 v1 · 2016-05-02 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJWE6HKOLSZJ44STY3Z6REOEHK}

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	2026-05-18T01:15:48.374268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

526c4f1d4e5cb29e7253c6f3e891c43aaf5122a4bfd2dd096c6bba23b7a5c54b

Aliases

arxiv: 1605.00687 · arxiv_version: 1605.00687v1 · doi: 10.48550/arxiv.1605.00687 · pith_short_12: KJWE6HKOLSZJ · pith_short_16: KJWE6HKOLSZJ44ST · pith_short_8: KJWE6HKO

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/KJWE6HKOLSZJ44STY3Z6REOEHK \
  | 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: 526c4f1d4e5cb29e7253c6f3e891c43aaf5122a4bfd2dd096c6bba23b7a5c54b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4678d886775ae2fd61a4f292e51bd5917b7523dd6e1fdd7dbffc8c4a05f3c1a4",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-02T20:59:49Z",
    "title_canon_sha256": "bc234c05dec3731d445bc8e7c31393e85830ddabb4fca5cb79ffcbeea05e7a6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00687",
    "kind": "arxiv",
    "version": 1
  }
}