Pith Number

pith:RYRACVON

pith:2019:RYRACVONYHVAEW37HGAJUSDNQ5

not attested not anchored not stored refs pending

Integration by parts formula for non-pluripolar product

Mingchen Xia

arxiv:1907.06359 v2 · 2019-07-15 · math.DG · 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{RYRACVONYHVAEW37HGAJUSDNQ5}

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	2026-05-17T23:40:29.528652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e220155cdc1ea025b7f39809a486d877c611c41a365c020e944bb65f84b6282

Aliases

arxiv: 1907.06359 · arxiv_version: 1907.06359v2 · doi: 10.48550/arxiv.1907.06359 · pith_short_12: RYRACVONYHVA · pith_short_16: RYRACVONYHVAEW37 · pith_short_8: RYRACVON

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/RYRACVONYHVAEW37HGAJUSDNQ5 \
  | 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: 8e220155cdc1ea025b7f39809a486d877c611c41a365c020e944bb65f84b6282

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d99af2795e12ae09feea3bf38822a245cd4f3321c133db58e88961dc8566d943",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-07-15T08:17:14Z",
    "title_canon_sha256": "8f827bcfb72045a9dd96209b9c410cd72d6224c027c159ed51d7f90ac5bf4c89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06359",
    "kind": "arxiv",
    "version": 2
  }
}