Pith Number

pith:4SBNT7CK

pith:2016:4SBNT7CK6SU4HAQ2YHTODWITHV

not attested not anchored not stored refs pending

The nonlocal Liouville-type equation in $\mathbb{R}$ and conformal immersions of the disk with boundary singularities

Francesca Da Lio, Luca Martinazzi

arxiv:1607.03525 v1 · 2016-07-12 · math.DG · math.AP · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4SBNT7CK6SU4HAQ2YHTODWITHV}

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	2026-05-18T01:11:07.742396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e482d9fc4af4a9c3821ac1e6e1d9133d4c7738b2b6cd28a4fd4276cb3e120c58

Aliases

arxiv: 1607.03525 · arxiv_version: 1607.03525v1 · doi: 10.48550/arxiv.1607.03525 · pith_short_12: 4SBNT7CK6SU4 · pith_short_16: 4SBNT7CK6SU4HAQ2 · pith_short_8: 4SBNT7CK

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/4SBNT7CK6SU4HAQ2YHTODWITHV \
  | 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: e482d9fc4af4a9c3821ac1e6e1d9133d4c7738b2b6cd28a4fd4276cb3e120c58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66861e22a52fbddcb4a20ed66e257345ccab6764e4abd10ec44cf552aaa66482",
    "cross_cats_sorted": [
      "math.AP",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-12T21:42:30Z",
    "title_canon_sha256": "a6d69ad23335d80a953dff7bf6677f920643a1e0e59a5a3a8e5295a10ae35ed6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03525",
    "kind": "arxiv",
    "version": 1
  }
}