Pith Number

pith:FJGPBQFQ

pith:2019:FJGPBQFQPI4NVRIAA7RD5KWDHJ

not attested not anchored not stored refs pending

A Liouville principle for the random conductance model under degenerate conditions

Tuan Anh Nguyen

arxiv:1908.10691 v2 · 2019-08-28 · math.AP · cs.NA · math.NA · 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{FJGPBQFQPI4NVRIAA7RD5KWDHJ}

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	2026-07-05T00:04:10.434671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a4cf0c0b07a38dac50007e23eaac33a73e74cda31e03db66b1bdd29a3686e46

Aliases

arxiv: 1908.10691 · arxiv_version: 1908.10691v2 · doi: 10.48550/arxiv.1908.10691 · pith_short_12: FJGPBQFQPI4N · pith_short_16: FJGPBQFQPI4NVRIA · pith_short_8: FJGPBQFQ

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/FJGPBQFQPI4NVRIAA7RD5KWDHJ \
  | 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: 2a4cf0c0b07a38dac50007e23eaac33a73e74cda31e03db66b1bdd29a3686e46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80c306c684ef8d68f4042e15e67c733b349bed149c5146efb91db23cd37fbfb0",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-28T12:44:29Z",
    "title_canon_sha256": "caac054f9ef7b7da596fe01c01bdc261268b4224377ca9c6be69b436b1e39984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10691",
    "kind": "arxiv",
    "version": 2
  }
}