Pith Number

pith:2JRC2FWR

pith:2012:2JRC2FWRZYYHDNYWHDNGNVJ2GI

not attested not anchored not stored refs pending

Biholomorphic Convex Mappings of Order alpha on the Unit Ball in Hilbert Spaces

Ming-Sheng Liu, Yu-Can Zhu

arxiv:1201.4475 v1 · 2012-01-21 · math.CV · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JRC2FWRZYYHDNYWHDNGNVJ2GI}

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	2026-05-18T04:04:05.944693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2622d16d1ce3071b71638da66d53a323389708434e82725d92798cfd2564d14

Aliases

arxiv: 1201.4475 · arxiv_version: 1201.4475v1 · doi: 10.48550/arxiv.1201.4475 · pith_short_12: 2JRC2FWRZYYH · pith_short_16: 2JRC2FWRZYYHDNYW · pith_short_8: 2JRC2FWR

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/2JRC2FWRZYYHDNYWHDNGNVJ2GI \
  | 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: d2622d16d1ce3071b71638da66d53a323389708434e82725d92798cfd2564d14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc830bd3e127361b9bdb1788c49ec13e9698ca1910d898f6588c5f04ccdc986f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-01-21T14:22:32Z",
    "title_canon_sha256": "5fca04cac192c0168449053ff465e7917e122e3465c53313f41fa8fdd18dd66e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4475",
    "kind": "arxiv",
    "version": 1
  }
}