Pith Number

pith:5MVQBV3L

pith:2026:5MVQBV3LHIOHWF67BUMI6JVPZW

not attested not anchored not stored refs pending

The Four-Point Picard Theorem for Quaternionic Slice Regular Functions

Guangbin Ren, Xin Zhao

arxiv:2606.08651 v1 · 2026-06-07 · 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{5MVQBV3LHIOHWF67BUMI6JVPZW}

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	2026-06-09T01:05:42.728812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb2b00d76b3a1c7b17df0d188f26afcd85609016f54b8db179dbcb5d258b8e5c

Aliases

arxiv: 2606.08651 · arxiv_version: 2606.08651v1 · doi: 10.48550/arxiv.2606.08651 · pith_short_12: 5MVQBV3LHIOH · pith_short_16: 5MVQBV3LHIOHWF67 · pith_short_8: 5MVQBV3L

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/5MVQBV3LHIOHWF67BUMI6JVPZW \
  | 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: eb2b00d76b3a1c7b17df0d188f26afcd85609016f54b8db179dbcb5d258b8e5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fa70e4e1d7dbbd5b4896688986a8fbffb9fa3f8215cc6bd50d48ab17cf2bb23",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-06-07T14:37:13Z",
    "title_canon_sha256": "1e413d0220de29f5bc73ebe9a3ffef4f69fc06abeb789aab55f5c7f1d8e12aa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08651",
    "kind": "arxiv",
    "version": 1
  }
}