Pith Number

pith:BO74PPWP

pith:2018:BO74PPWPEUYG6LOJJWXVENVQ25

not attested not anchored not stored refs pending

Local and nonlocal singular Liouville equations in Euclidean spaces

Ali Hyder, Gabriele Mancini, Luca Martinazzi

arxiv:1808.03624 v1 · 2018-08-10 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BO74PPWPEUYG6LOJJWXVENVQ25}

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	2026-05-18T00:08:24.534003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bbfc7becf25306f2dc94daf5236b0d778b97403d5769f83ba729680bc74d359

Aliases

arxiv: 1808.03624 · arxiv_version: 1808.03624v1 · doi: 10.48550/arxiv.1808.03624 · pith_short_12: BO74PPWPEUYG · pith_short_16: BO74PPWPEUYG6LOJ · pith_short_8: BO74PPWP

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/BO74PPWPEUYG6LOJJWXVENVQ25 \
  | 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: 0bbfc7becf25306f2dc94daf5236b0d778b97403d5769f83ba729680bc74d359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06bcfa1e542be849115fc6576917dd05116e297b50dd555fee7e52d30836de7f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-10T17:13:28Z",
    "title_canon_sha256": "58869fe8e4b0fe4ec215e70d8455fba963088e10fe7e7ac922d697b933abb70d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03624",
    "kind": "arxiv",
    "version": 1
  }
}