Pith Number

pith:BJFFFGYE

pith:2016:BJFFFGYEQ2N7YIQIXPAELWREVX

not attested not anchored not stored refs pending

Liouville principles and a large-scale regularity theory for random elliptic operators on the half-space

Claudia Raithel, Julian Fischer

arxiv:1604.02717 v2 · 2016-04-10 · 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{BJFFFGYEQ2N7YIQIXPAELWREVX}

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	2026-05-18T01:01:28.562947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a4a529b04869bfc2208bbc045da24adc92c637f9ded26ae4edf9b92f083faa1

Aliases

arxiv: 1604.02717 · arxiv_version: 1604.02717v2 · doi: 10.48550/arxiv.1604.02717 · pith_short_12: BJFFFGYEQ2N7 · pith_short_16: BJFFFGYEQ2N7YIQI · pith_short_8: BJFFFGYE

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/BJFFFGYEQ2N7YIQIXPAELWREVX \
  | 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: 0a4a529b04869bfc2208bbc045da24adc92c637f9ded26ae4edf9b92f083faa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d60aa41940a59bd70f65442397bd5a6de5f5feaac0bc1f14714a8e93b835868b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-10T17:43:18Z",
    "title_canon_sha256": "1b59052b26e6a9195aedb38cf5ea16ddf701a0b6f26d82d60e3a159c8757a485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02717",
    "kind": "arxiv",
    "version": 2
  }
}