Pith Number

pith:ZIENPP43

pith:2011:ZIENPP43LPBD5OA2PAWSNKKIZR

not attested not anchored not stored refs pending

Quasiconformal harmonic mappings between $\,\mathscr C^{1,\mu}$ Euclidean surfaces

David Kalaj

arxiv:1103.1563 v1 · 2011-03-08 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZIENPP43LPBD5OA2PAWSNKKIZR}

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	2026-05-18T04:27:15.603395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca08d7bf9b5bc23eb81a782d26a948cc6f1eabdf98ed3f68d058887692f8dab0

Aliases

arxiv: 1103.1563 · arxiv_version: 1103.1563v1 · doi: 10.48550/arxiv.1103.1563 · pith_short_12: ZIENPP43LPBD · pith_short_16: ZIENPP43LPBD5OA2 · pith_short_8: ZIENPP43

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/ZIENPP43LPBD5OA2PAWSNKKIZR \
  | 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: ca08d7bf9b5bc23eb81a782d26a948cc6f1eabdf98ed3f68d058887692f8dab0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e51dd6959440f57d3d1767a26db4d3107500e44ebe4eb1ecd59e7b64aa0f53ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-08T15:39:53Z",
    "title_canon_sha256": "f49cd5127025b324651b3489c97f4e0cc663b5cced0813c7040ceee3f80e6ee8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1563",
    "kind": "arxiv",
    "version": 1
  }
}