Pith Number

pith:PSUXD6JO

pith:2016:PSUXD6JONNWG5LCB4JXV4LJQYH

not attested not anchored not stored refs pending

Generalized Bloch spaces, Integral means of hyperbolic harmonic mappings in the unit ball

Jiaolong Chen

arxiv:1612.06542 v3 · 2016-12-20 · 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{PSUXD6JONNWG5LCB4JXV4LJQYH}

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	2026-05-18T00:30:17.314847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ca971f92e6b6c6eac41e26f5e2d30c1d9c31a8e2336688c48e9f91f96585a8c

Aliases

arxiv: 1612.06542 · arxiv_version: 1612.06542v3 · doi: 10.48550/arxiv.1612.06542 · pith_short_12: PSUXD6JONNWG · pith_short_16: PSUXD6JONNWG5LCB · pith_short_8: PSUXD6JO

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/PSUXD6JONNWG5LCB4JXV4LJQYH \
  | 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: 7ca971f92e6b6c6eac41e26f5e2d30c1d9c31a8e2336688c48e9f91f96585a8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "462feca94d0f2679b7746316a5d6db6a490f2b30e0cd82308689ff0d4fff9215",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-12-20T08:08:47Z",
    "title_canon_sha256": "d3090ce60fe6b6828f0183b50bfd64ecad5649d06b227174633dd375b5e36bac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06542",
    "kind": "arxiv",
    "version": 3
  }
}