Pith Number

pith:3WWGST4S

pith:2017:3WWGST4SIZAHRY2IGDXHEQUQTM

not attested not anchored not stored refs pending

Uniformly locally univalent harmonic mappings associated with the pre-Schwarzian norm

Gang Liu, Saminathan Ponnusamy

arxiv:1707.01569 v2 · 2017-07-05 · 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{3WWGST4SIZAHRY2IGDXHEQUQTM}

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	2026-05-18T00:26:46.042946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddac694f92464078e34830ee7242909b32e7b1c062982ab4e6008d1e8a3c9c97

Aliases

arxiv: 1707.01569 · arxiv_version: 1707.01569v2 · doi: 10.48550/arxiv.1707.01569 · pith_short_12: 3WWGST4SIZAH · pith_short_16: 3WWGST4SIZAHRY2I · pith_short_8: 3WWGST4S

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/3WWGST4SIZAHRY2IGDXHEQUQTM \
  | 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: ddac694f92464078e34830ee7242909b32e7b1c062982ab4e6008d1e8a3c9c97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f6a81d0b63e57d93c2b22d02f24e30913a49b261fea2965fc9cd7916253338f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-07-05T20:24:02Z",
    "title_canon_sha256": "72dc6f66d87532d2ea37f8a7af5e28fbadeba54c13a2095d579ab81cfb0b6e64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01569",
    "kind": "arxiv",
    "version": 2
  }
}