Pith Number

pith:PNNZMEPX

pith:2015:PNNZMEPXDHAGYMKRUXR7KPXAR2

not attested not anchored not stored refs pending

Univalent harmonic mappings and lift to the minimal surfaces

Saminathan Ponnusamy, Yueping Jiang, Zhihong Liu

arxiv:1508.00199 v1 · 2015-08-02 · 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{PNNZMEPXDHAGYMKRUXR7KPXAR2}

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	2026-05-18T01:35:58.730740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b5b9611f719c06c3151a5e3f53ee08eb55f5035395502c0d93bb573d1bea46f

Aliases

arxiv: 1508.00199 · arxiv_version: 1508.00199v1 · doi: 10.48550/arxiv.1508.00199 · pith_short_12: PNNZMEPXDHAG · pith_short_16: PNNZMEPXDHAGYMKR · pith_short_8: PNNZMEPX

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/PNNZMEPXDHAGYMKRUXR7KPXAR2 \
  | 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: 7b5b9611f719c06c3151a5e3f53ee08eb55f5035395502c0d93bb573d1bea46f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35bf8ad6194bfed5b97f803820d0f83e6f95a914f7c5594d17aa79d13ffa657c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-08-02T05:58:03Z",
    "title_canon_sha256": "91966084c92b37afb542f1f6507409b05f91b60262a5f5d343be347d83950a02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00199",
    "kind": "arxiv",
    "version": 1
  }
}