Pith Number

pith:FHBH5NVJ

pith:2017:FHBH5NVJRK3AT75RD3VGE3ZKPW

not attested not anchored not stored refs pending

Nonradial entire solutions for Liouville systems

Francesca Gladiali, Luca Battaglia, Massimo Grossi

arxiv:1701.02948 v3 · 2017-01-11 · 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{FHBH5NVJRK3AT75RD3VGE3ZKPW}

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	2026-05-18T00:42:29.979268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29c27eb6a98ab609ffb11eea626f2a7db2a0ff5ce1c6d1095e298e3b49172e36

Aliases

arxiv: 1701.02948 · arxiv_version: 1701.02948v3 · doi: 10.48550/arxiv.1701.02948 · pith_short_12: FHBH5NVJRK3A · pith_short_16: FHBH5NVJRK3AT75R · pith_short_8: FHBH5NVJ

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/FHBH5NVJRK3AT75RD3VGE3ZKPW \
  | 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: 29c27eb6a98ab609ffb11eea626f2a7db2a0ff5ce1c6d1095e298e3b49172e36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "483e9701611bfa8305515739b00b7078ec3bd111c9812005807ab77c9a0f5e20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-01-11T12:27:32Z",
    "title_canon_sha256": "d64c73a308278d0ed490dc5f5ffa51138b46a6ae6c8b976c48795187351e6622"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02948",
    "kind": "arxiv",
    "version": 3
  }
}