Pith Number

pith:CAUHLVR4

pith:2012:CAUHLVR4GVRQVQKXQP6GUD4FWB

not attested not anchored not stored refs pending

Area integral means, Hardy and weighted Bergman spaces of planar harmonic mappings

SH. Chen, S. Ponnusamy, X. Wang

arxiv:1203.2711 v1 · 2012-03-13 · 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{CAUHLVR4GVRQVQKXQP6GUD4FWB}

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	2026-05-18T04:00:14.848110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

102875d63c35630ac15783fc6a0f85b0580b5c94382707d88c7cd153187d85c6

Aliases

arxiv: 1203.2711 · arxiv_version: 1203.2711v1 · doi: 10.48550/arxiv.1203.2711 · pith_short_12: CAUHLVR4GVRQ · pith_short_16: CAUHLVR4GVRQVQKX · pith_short_8: CAUHLVR4

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/CAUHLVR4GVRQVQKXQP6GUD4FWB \
  | 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: 102875d63c35630ac15783fc6a0f85b0580b5c94382707d88c7cd153187d85c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af000bb5a3502ce2f4201257ef30c67ab97d21bafea2c55e0041840c175154e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-03-13T04:38:28Z",
    "title_canon_sha256": "5a98e0d06b9f5aa94ea8747e6fbab862a3e3ac1e53f6d7049ad49fc7fa0b1b67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2711",
    "kind": "arxiv",
    "version": 1
  }
}