Pith Number

pith:LIWSQTMR

pith:2019:LIWSQTMRP4TLF34REZKSJCR6CW

not attested not anchored not stored refs pending

Morse-type integrals on non-K\"ahler manifolds

Slawomir Kolodziej, Valentino Tosatti

arxiv:1906.09614 v1 · 2019-06-23 · math.CV · 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{LIWSQTMRP4TLF34REZKSJCR6CW}

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	2026-07-05T02:48:49.887005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a2d284d917f26b2ef912655248a3e15b041db5954b387d25d5754443e9582ed

Aliases

arxiv: 1906.09614 · arxiv_version: 1906.09614v1 · doi: 10.48550/arxiv.1906.09614 · pith_short_12: LIWSQTMRP4TL · pith_short_16: LIWSQTMRP4TLF34R · pith_short_8: LIWSQTMR

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/LIWSQTMRP4TLF34REZKSJCR6CW \
  | 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: 5a2d284d917f26b2ef912655248a3e15b041db5954b387d25d5754443e9582ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f2ead05a07b779b22fb5bed7da8abedd28f5a2df6fc1c79c8bc7406b3910ff3",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-06-23T17:38:14Z",
    "title_canon_sha256": "010add6ed6e38dfcbb854e20f689548f9c62a68fc2c6b016838143e1c3aefd6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09614",
    "kind": "arxiv",
    "version": 1
  }
}