Pith Number

pith:PGEFVWAA

pith:2019:PGEFVWAANXG2MMQQUHWENCKUKO

not attested not anchored not stored refs pending

Notes on the norm of pre-Schwarzian derivatives on bi-univalent functions of order $\alpha$

H. Mahzoon, R. Kargar

arxiv:1908.01397 v1 · 2019-08-04 · 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{PGEFVWAANXG2MMQQUHWENCKUKO}

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	2026-07-04T23:51:30.029615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79885ad8006dcda63210a1ec468954539e1b38873c9bc2403b76a318fa5d1507

Aliases

arxiv: 1908.01397 · arxiv_version: 1908.01397v1 · doi: 10.48550/arxiv.1908.01397 · pith_short_12: PGEFVWAANXG2 · pith_short_16: PGEFVWAANXG2MMQQ · pith_short_8: PGEFVWAA

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/PGEFVWAANXG2MMQQUHWENCKUKO \
  | 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: 79885ad8006dcda63210a1ec468954539e1b38873c9bc2403b76a318fa5d1507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "848a3531fc6d2827ef0883577439913fb1a5079492acb0432091e8ce85047458",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-08-04T20:33:01Z",
    "title_canon_sha256": "fafdcbc98c3611c0e2af7731bba22e933c46f3091cec72b97683ca3b7ef514a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01397",
    "kind": "arxiv",
    "version": 1
  }
}