Pith Number

pith:HQLOYVZH

pith:2013:HQLOYVZH2VZNEVCHOK735FMTC5

not attested not anchored not stored refs pending

Lengths, areas and Lipschitz-type spaces of planar harmonic mappings

Antti Rasila, Saminathan Ponnusamy, Shaolin Chen

arxiv:1309.3767 v1 · 2013-09-15 · math.CV · 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{HQLOYVZH2VZNEVCHOK735FMTC5}

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	2026-05-18T03:13:20.596208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c16ec5727d572d2544772bfbe95931770c68378ed0a1cd5be8087eef1aa4e6c

Aliases

arxiv: 1309.3767 · arxiv_version: 1309.3767v1 · doi: 10.48550/arxiv.1309.3767 · pith_short_12: HQLOYVZH2VZN · pith_short_16: HQLOYVZH2VZNEVCH · pith_short_8: HQLOYVZH

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/HQLOYVZH2VZNEVCHOK735FMTC5 \
  | 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: 3c16ec5727d572d2544772bfbe95931770c68378ed0a1cd5be8087eef1aa4e6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6461c2fffcf99db898aa9f95129eb894ecc0b65f9c37a25a24ec51edf8e5d97a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-09-15T14:29:36Z",
    "title_canon_sha256": "d87a779f18e10f1dcfb78905585287ba011a38ee417f7c0d8897ef07672ec84e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3767",
    "kind": "arxiv",
    "version": 1
  }
}