Pith Number

pith:XSQWJDQ4

pith:2017:XSQWJDQ4BK5P4YJ7Z4BPCSYLPF

not attested not anchored not stored refs pending

Symmetry and uniqueness of solutions to some Liouville-type equations and systems

Aleks Jevnikar, Amir Moradifam, Changfeng Gui

arxiv:1703.02246 v1 · 2017-03-07 · 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{XSQWJDQ4BK5P4YJ7Z4BPCSYLPF}

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	2026-05-18T00:04:47.572378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bca1648e1c0abafe613fcf02f14b0b794817fdfa82361f3eda9b80dcb0f18174

Aliases

arxiv: 1703.02246 · arxiv_version: 1703.02246v1 · doi: 10.48550/arxiv.1703.02246 · pith_short_12: XSQWJDQ4BK5P · pith_short_16: XSQWJDQ4BK5P4YJ7 · pith_short_8: XSQWJDQ4

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/XSQWJDQ4BK5P4YJ7Z4BPCSYLPF \
  | 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: bca1648e1c0abafe613fcf02f14b0b794817fdfa82361f3eda9b80dcb0f18174

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "568a7b4d4363ef614f87f3fe0962f03bba54c348eef92fab0e3a24f852a3daa1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-07T07:24:34Z",
    "title_canon_sha256": "73e2f6e5129143679b064bccea99fbe14555b38ff94be2b5da1e338dce2af2d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02246",
    "kind": "arxiv",
    "version": 1
  }
}