Pith Number

pith:PC6EM4OT

pith:2005:PC6EM4OT7YXUQRLXRCHWL7THVP

not attested not anchored not stored refs pending

Plurisubharmonic functions on hypercomplex manifolds and HKT-geometry

Misha Verbitsky, Semyon Alesker

arxiv:math/0510140 v4 · 2005-10-07 · 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{PC6EM4OT7YXUQRLXRCHWL7THVP}

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	2026-05-18T00:31:29.364483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78bc4671d3fe2f484577888f65fe67abe85ff2031e33c4de0c46eeb21d64f738

Aliases

arxiv: math/0510140 · arxiv_version: math/0510140v4 · doi: 10.48550/arxiv.math/0510140 · pith_short_12: PC6EM4OT7YXU · pith_short_16: PC6EM4OT7YXUQRLX · pith_short_8: PC6EM4OT

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/PC6EM4OT7YXUQRLXRCHWL7THVP \
  | 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: 78bc4671d3fe2f484577888f65fe67abe85ff2031e33c4de0c46eeb21d64f738

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "869871b97cb8e26d46c39bd14ac02da92e3f3bb1fe7e5eb80cbb19cce0df4bf2",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2005-10-07T08:22:51Z",
    "title_canon_sha256": "025df8c2ebba024dcc030ade6b3ad0117666f0746eeb26ed0396bd05941599d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510140",
    "kind": "arxiv",
    "version": 4
  }
}