Pith Number

pith:ZPFOP767

pith:2016:ZPFOP767RPPU3VU3VXYJ74RBSD

not attested not anchored not stored refs pending

Liouville theorem for the fractional Lane-Emden Equation in unbounded domain

Huyuan Chen

arxiv:1612.01071 v1 · 2016-12-04 · 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{ZPFOP767RPPU3VU3VXYJ74RBSD}

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	2026-05-18T00:55:53.426853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbcae7ffdf8bdf4dd69badf09ff22190e12ac4df8d6584e9b114f0c44f700c26

Aliases

arxiv: 1612.01071 · arxiv_version: 1612.01071v1 · doi: 10.48550/arxiv.1612.01071 · pith_short_12: ZPFOP767RPPU · pith_short_16: ZPFOP767RPPU3VU3 · pith_short_8: ZPFOP767

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/ZPFOP767RPPU3VU3VXYJ74RBSD \
  | 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: cbcae7ffdf8bdf4dd69badf09ff22190e12ac4df8d6584e9b114f0c44f700c26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86a25d8bdb9ba64a3eb074740c614cd3740bcb5ecd142acc5d4833a2f059c71b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-04T05:35:40Z",
    "title_canon_sha256": "73d80680e375773091ef4d4ee1433d1f5c7b08c4e73fcffb5d4e9d7e34b7ac8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01071",
    "kind": "arxiv",
    "version": 1
  }
}