Pith Number

pith:CTSNNY4T

pith:2018:CTSNNY4TTD6EE5XKRBXB2GKMEA

not attested not anchored not stored refs pending

The Bergman kernel for the Vekua equation

Hugo M. Campos, Vladislav V. Kravchenko

arxiv:1808.02566 v1 · 2018-08-07 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CTSNNY4TTD6EE5XKRBXB2GKMEA}

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	2026-05-18T00:08:34.993551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14e4d6e39398fc4276ea886e1d194c201b0df0dd677b6b2c715001e3247eccbf

Aliases

arxiv: 1808.02566 · arxiv_version: 1808.02566v1 · doi: 10.48550/arxiv.1808.02566 · pith_short_12: CTSNNY4TTD6E · pith_short_16: CTSNNY4TTD6EE5XK · pith_short_8: CTSNNY4T

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/CTSNNY4TTD6EE5XKRBXB2GKMEA \
  | 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: 14e4d6e39398fc4276ea886e1d194c201b0df0dd677b6b2c715001e3247eccbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57c5016659960cd20f35a40de1d4cd7d8c73c62b81d8f53feccb012eef49d800",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-07T22:19:28Z",
    "title_canon_sha256": "c5447a947632dd9f1719df93e705d1a989b1776993e23c22e837bafc4305144a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02566",
    "kind": "arxiv",
    "version": 1
  }
}