Pith Number

pith:N7RN7GU4

pith:2018:N7RN7GU4EEX4KLGDUVLDJZWCCG

not attested not anchored not stored refs pending

The extremal plurisubharmonic function of the torus

Federico Piazzon

arxiv:1811.03025 v1 · 2018-11-07 · 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{N7RN7GU4EEX4KLGDUVLDJZWCCG}

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	2026-05-18T00:01:20.106991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fe2df9a9c212fc52cc3a55634e6c2118ed185f32de702da19ba3e32341d7831

Aliases

arxiv: 1811.03025 · arxiv_version: 1811.03025v1 · doi: 10.48550/arxiv.1811.03025 · pith_short_12: N7RN7GU4EEX4 · pith_short_16: N7RN7GU4EEX4KLGD · pith_short_8: N7RN7GU4

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/N7RN7GU4EEX4KLGDUVLDJZWCCG \
  | 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: 6fe2df9a9c212fc52cc3a55634e6c2118ed185f32de702da19ba3e32341d7831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90764ad96c60d8bec477cf392ccbfc0cf7902bd40fb991aaee43b7e8ae83a802",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-11-07T17:22:04Z",
    "title_canon_sha256": "6878574f96a5236da10623f1d39d45650fd4fe078c6789441913c191eafb38a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03025",
    "kind": "arxiv",
    "version": 1
  }
}