Pith Number

pith:75DV2HBU

pith:2019:75DV2HBU4BHAWLQUO7LROTV7VE

not attested not anchored not stored refs pending

The Lelong number, the Monge-Amp\`ere mass and the Schwarz symmetrization of plurisubharmonic functions

Long Li

arxiv:1905.10652 v1 · 2019-05-25 · math.DG · math.AG · 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{75DV2HBU4BHAWLQUO7LROTV7VE}

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	2026-05-17T23:45:05.679208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff475d1c34e04e0b2e1477d7174ebfa91e6587ead42d306df4fd7afa74919bbc

Aliases

arxiv: 1905.10652 · arxiv_version: 1905.10652v1 · doi: 10.48550/arxiv.1905.10652 · pith_short_12: 75DV2HBU4BHA · pith_short_16: 75DV2HBU4BHAWLQU · pith_short_8: 75DV2HBU

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/75DV2HBU4BHAWLQUO7LROTV7VE \
  | 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: ff475d1c34e04e0b2e1477d7174ebfa91e6587ead42d306df4fd7afa74919bbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd819f24ac75611537611b80d3a9c3e90e1f7ffca4a2c0a24601cfad3b24d4c0",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-05-25T18:31:58Z",
    "title_canon_sha256": "36163be7f6a06fd88a2dd751efcc93fa44c934aead813e702a67dcf95d08cc7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10652",
    "kind": "arxiv",
    "version": 1
  }
}