Pith Number

pith:NIM2LAZW

pith:2019:NIM2LAZWEFNTVS72A7Y64CFRE7

not attested not anchored not stored refs pending

Number and location of pre-images under harmonic mappings in the plane

Jan Zur, Olivier S\`ete

arxiv:1908.08759 v2 · 2019-08-23 · 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{NIM2LAZWEFNTVS72A7Y64CFRE7}

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	2026-07-05T02:52:37.572617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a19a58336215b3acbfa07f1ee08b127e3a150c459712c7c977d3eb023f2b3e0

Aliases

arxiv: 1908.08759 · arxiv_version: 1908.08759v2 · doi: 10.48550/arxiv.1908.08759 · pith_short_12: NIM2LAZWEFNT · pith_short_16: NIM2LAZWEFNTVS72 · pith_short_8: NIM2LAZW

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/NIM2LAZWEFNTVS72A7Y64CFRE7 \
  | 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: 6a19a58336215b3acbfa07f1ee08b127e3a150c459712c7c977d3eb023f2b3e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8828dc389f1040650c4dfb0fa5f42b48c79d1775e4a28639f804cdfbd1f6488",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-08-23T10:59:53Z",
    "title_canon_sha256": "05ae7a77b5362a1fca2bfdbbbfa378fa0a2b51799532a03cef17f2fd2b6753bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08759",
    "kind": "arxiv",
    "version": 2
  }
}