Pith Number

pith:RWPIDPGN

pith:2011:RWPIDPGNBGHDHLMVFTKSC3FVRM

not attested not anchored not stored refs pending

Complete families of solutions for the Dirac equation: an application of bicomplex pseudoanalytic function theory and transmutation operators

Hugo M. Campos, Luis M. Mendez, Vladislav V. Kravchenko

arxiv:1111.4198 v1 · 2011-11-17 · math-ph · math.AP · math.CA · math.CV · 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{RWPIDPGNBGHDHLMVFTKSC3FVRM}

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	2026-05-18T04:08:05.504999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d9e81bccd098e33ad952cd5216cb58b3d1daba154a6ebdb02ae4aee600ec0f8

Aliases

arxiv: 1111.4198 · arxiv_version: 1111.4198v1 · doi: 10.48550/arxiv.1111.4198 · pith_short_12: RWPIDPGNBGHD · pith_short_16: RWPIDPGNBGHDHLMV · pith_short_8: RWPIDPGN

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/RWPIDPGNBGHDHLMVFTKSC3FVRM \
  | 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: 8d9e81bccd098e33ad952cd5216cb58b3d1daba154a6ebdb02ae4aee600ec0f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ca28b2d5ddbe4068d43109ee8c79cdfe49dc4b5ef6486dc8e6c83f6b9bf13bd",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-17T20:11:36Z",
    "title_canon_sha256": "5a774066aff3c45682ee3c98ad5f74d4599bddda47a3dd606a171be78248a411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4198",
    "kind": "arxiv",
    "version": 1
  }
}