Pith Number

pith:DBJXCWAH

pith:2015:DBJXCWAHHN4G2GGQ3OQNIMRCLI

not attested not anchored not stored refs pending

Existence of entire solutions to a fractional Liouville equation in $\mathbb{R}^n$

Ali Hyder

arxiv:1502.02685 v1 · 2015-02-09 · 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{DBJXCWAHHN4G2GGQ3OQNIMRCLI}

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	2026-05-18T02:27:31.285528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18537158073b786d18d0dba0d432225a1a3960cda71e80caedfaa75de077c140

Aliases

arxiv: 1502.02685 · arxiv_version: 1502.02685v1 · doi: 10.48550/arxiv.1502.02685 · pith_short_12: DBJXCWAHHN4G · pith_short_16: DBJXCWAHHN4G2GGQ · pith_short_8: DBJXCWAH

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/DBJXCWAHHN4G2GGQ3OQNIMRCLI \
  | 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: 18537158073b786d18d0dba0d432225a1a3960cda71e80caedfaa75de077c140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77f42d4b67a456cdbdc79dfb732f1196c1b46f9526c0631a62082bd7f8076271",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-09T21:09:50Z",
    "title_canon_sha256": "44c4833983545ecd2c29b6a68919ab27ad33a079ee655f7699d6c8ffd85248cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02685",
    "kind": "arxiv",
    "version": 1
  }
}