Pith Number

pith:FALZKPOE

pith:2018:FALZKPOESSARWWFHGRKF35HNF6

not attested not anchored not stored refs pending

Some properties of univalent log-harmonic mappings

Saminathan Ponnusamy, Zhihong Liu

arxiv:1808.07393 v1 · 2018-08-22 · 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{FALZKPOESSARWWFHGRKF35HNF6}

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	2026-05-18T00:07:28.992952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2817953dc494811b58a734545df4ed2f879d44c2bf7b533d2045194b0b036999

Aliases

arxiv: 1808.07393 · arxiv_version: 1808.07393v1 · doi: 10.48550/arxiv.1808.07393 · pith_short_12: FALZKPOESSAR · pith_short_16: FALZKPOESSARWWFH · pith_short_8: FALZKPOE

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/FALZKPOESSARWWFHGRKF35HNF6 \
  | 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: 2817953dc494811b58a734545df4ed2f879d44c2bf7b533d2045194b0b036999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "679512421ba791d03404b3406a9427adc016235d50e363bef662deeaf08fb687",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-08-22T14:52:32Z",
    "title_canon_sha256": "10bfd6dd1aa8f06a367dea26ebe05e2fdc247ee32cec5fea759e578fa59f0913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07393",
    "kind": "arxiv",
    "version": 1
  }
}