Pith Number

pith:PA3YI5LM

pith:2017:PA3YI5LMUKOJD4LJN2GLNGQFZF

not attested not anchored not stored refs pending

Approximation of $m-$subharmonic functions on bounded domains in $\mathbb C^n$

Dau Hoang Hung, Hoang Thieu Anh, Nguyen Quang Dieu, Sanphet Ounheuan

arxiv:1711.05657 v1 · 2017-11-15 · 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{PA3YI5LMUKOJD4LJN2GLNGQFZF}

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	2026-05-18T00:30:29.281402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

783784756ca29c91f1696e8cb69a05c969441df09200090d9efe23003011215c

Aliases

arxiv: 1711.05657 · arxiv_version: 1711.05657v1 · doi: 10.48550/arxiv.1711.05657 · pith_short_12: PA3YI5LMUKOJ · pith_short_16: PA3YI5LMUKOJD4LJ · pith_short_8: PA3YI5LM

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/PA3YI5LMUKOJD4LJN2GLNGQFZF \
  | 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: 783784756ca29c91f1696e8cb69a05c969441df09200090d9efe23003011215c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08f261b15b10844fd9f1dcf22323035357c48c6b1847d72ec7621c25f38c1581",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-11-15T16:36:22Z",
    "title_canon_sha256": "85efee1281cadb5bc54ce9da253fc802a9ba3c6b3b04a93b5d8f61447980a89f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05657",
    "kind": "arxiv",
    "version": 1
  }
}