Pith Number

pith:77V7ILNV

pith:2018:77V7ILNVH776WJMPS7INB7BL5Y

not attested not anchored not stored refs pending

Characterization of nonlocal diffusion operators satisfying the Liouville theorem. Irrational numbers and subgroups of $\mathbb{R}^d$

Espen R. Jakobsen, F\'elix del Teso, J{\o}rgen Endal, Natha\"el Alibaud

arxiv:1807.01843 v1 · 2018-07-05 · 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{77V7ILNVH776WJMPS7INB7BL5Y}

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	2026-05-18T00:11:28.508515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffebf42db53fffeb258f97d0d0fc2bee0beb308968d5e7dd6adeb60945952637

Aliases

arxiv: 1807.01843 · arxiv_version: 1807.01843v1 · doi: 10.48550/arxiv.1807.01843 · pith_short_12: 77V7ILNVH776 · pith_short_16: 77V7ILNVH776WJMP · pith_short_8: 77V7ILNV

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/77V7ILNVH776WJMPS7INB7BL5Y \
  | 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: ffebf42db53fffeb258f97d0d0fc2bee0beb308968d5e7dd6adeb60945952637

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b6735800bceb7ef7f849669943aef7f87e6662016e828efe86c8894d929aca0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-05T04:31:27Z",
    "title_canon_sha256": "68ea417c651c5ce0c7d44f77426a4f7b34d63ec5ae0ae90168da188ba6dda3b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01843",
    "kind": "arxiv",
    "version": 1
  }
}