Pith Number

pith:3SGEZUXV

pith:2015:3SGEZUXVGBEKXI7GLSHD33EK5W

not attested not anchored not stored refs pending

Liouville theorems for a general class of nonlocal operators

Mouhamed Moustapha Fall, Tobias Weth

arxiv:1504.00419 v2 · 2015-04-02 · 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{3SGEZUXVGBEKXI7GLSHD33EK5W}

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	2026-05-18T00:32:36.648785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc8c4cd2f53048aba3e65c8e3dec8aed8c48744f53ed88a803fec0255811c0d0

Aliases

arxiv: 1504.00419 · arxiv_version: 1504.00419v2 · doi: 10.48550/arxiv.1504.00419 · pith_short_12: 3SGEZUXVGBEK · pith_short_16: 3SGEZUXVGBEKXI7G · pith_short_8: 3SGEZUXV

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/3SGEZUXVGBEKXI7GLSHD33EK5W \
  | 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: dc8c4cd2f53048aba3e65c8e3dec8aed8c48744f53ed88a803fec0255811c0d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3c7c646e0b31f6ad69b393e85ba9c776239f9caa7a0f2d751be843b37ba8b91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-02T00:16:20Z",
    "title_canon_sha256": "e753320a0464ce984fc8023a2f92235152c2cbefda130703769e4ea5356547ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00419",
    "kind": "arxiv",
    "version": 2
  }
}