Pith Number

pith:5DMJIVBT

pith:2013:5DMJIVBTRZLJQ3GYY6D2MS57GS

not attested not anchored not stored refs pending

Basics of functional analysis with bicomplex scalars, and bicomplex Schur analysis

Daniel Alpay, Daniele C. Struppa, Mar\'ia Elena Luna-Elizarrar\'as, Michael Shapiro

arxiv:1304.0781 v1 · 2013-04-02 · 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{5DMJIVBTRZLJQ3GYY6D2MS57GS}

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	2026-05-18T03:29:06.127621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8d89454338e56986cd8c787a64bbf349fcd2bceaebaf816ec152fb1e8fe6f3b

Aliases

arxiv: 1304.0781 · arxiv_version: 1304.0781v1 · doi: 10.48550/arxiv.1304.0781 · pith_short_12: 5DMJIVBTRZLJ · pith_short_16: 5DMJIVBTRZLJQ3GY · pith_short_8: 5DMJIVBT

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/5DMJIVBTRZLJQ3GYY6D2MS57GS \
  | 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: e8d89454338e56986cd8c787a64bbf349fcd2bceaebaf816ec152fb1e8fe6f3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80df4e09d94387106a82b6899e557d8450eda8a04927c4f566bffb566f3ded8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-04-02T20:09:19Z",
    "title_canon_sha256": "f8f27985d22208bcc51548459dded90ad3510aa59686795effcf1f9a098d942b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0781",
    "kind": "arxiv",
    "version": 1
  }
}