Pith Number

pith:O2MZ32HJ

pith:2020:O2MZ32HJRFRQNAXDYJQCD577B3

not attested not anchored not stored refs pending

Extension theorem and representation formula in non-axially symmetric domains for slice regular functions

Guangbin Ren, Irene Sabadini, Xinyuan Dou

arxiv:2003.10487 v2 · 2020-03-23 · 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{O2MZ32HJRFRQNAXDYJQCD577B3}

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	2026-07-05T02:09:09.073326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76999de8e989630682e3c26021f7ff0ecc59e425acee05f3ce3f7f60b47fb7a5

Aliases

arxiv: 2003.10487 · arxiv_version: 2003.10487v2 · doi: 10.48550/arxiv.2003.10487 · pith_short_12: O2MZ32HJRFRQ · pith_short_16: O2MZ32HJRFRQNAXD · pith_short_8: O2MZ32HJ

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/O2MZ32HJRFRQNAXDYJQCD577B3 \
  | 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: 76999de8e989630682e3c26021f7ff0ecc59e425acee05f3ce3f7f60b47fb7a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eca698e63131c5e918be244c1f97043a46320fe5ef720fb8d9732ced45a1170e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2020-03-23T18:35:16Z",
    "title_canon_sha256": "d5cc6c53014e958c56033b72750d8ecc38663574755663616dcc7471da474765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.10487",
    "kind": "arxiv",
    "version": 2
  }
}