Pith Number

pith:AYIN5VNP

pith:2012:AYIN5VNPLWRFUA5OM5C7B6NZLH

not attested not anchored not stored refs pending

Fundamentals of bicomplex pseudoanalytic function theory: Cauchy integral formulas, negative formal powers and Schr\"odinger equations with complex coefficients

Hugo M. Campos, Vladislav V. Kravchenko

arxiv:1205.4654 v1 · 2012-05-21 · math.CV · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYIN5VNPLWRFUA5OM5C7B6NZLH}

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	2026-05-18T03:55:12.671672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0610ded5af5da25a03ae6745f0f9b959d7091947d378891c35784ad8916787e9

Aliases

arxiv: 1205.4654 · arxiv_version: 1205.4654v1 · doi: 10.48550/arxiv.1205.4654 · pith_short_12: AYIN5VNPLWRF · pith_short_16: AYIN5VNPLWRFUA5O · pith_short_8: AYIN5VNP

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/AYIN5VNPLWRFUA5OM5C7B6NZLH \
  | 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: 0610ded5af5da25a03ae6745f0f9b959d7091947d378891c35784ad8916787e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "783ec82b259069904795778339e5abf7766e851c565b6732b123fa672e5015b4",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-05-21T16:40:07Z",
    "title_canon_sha256": "7a52abbc2125c5e15d5f3c89996280b6b819e7fe83cc1703aa9a00b57c6d5f02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4654",
    "kind": "arxiv",
    "version": 1
  }
}