Pith Number

pith:4MTIR7IN

pith:2012:4MTIR7INT77YTWQEYSQN5BGDNC

not attested not anchored not stored refs pending

Program Verification in the presence of complex numbers, functions with branch cuts etc

David Wilson, James H. Davenport, Matthew England, Russell Bradford

arxiv:1212.5417 v1 · 2012-12-21 · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MTIR7INT77YTWQEYSQN5BGDNC}

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	2026-05-18T02:53:27.220635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e32688fd0d9fff89da04c4a0de84c3688b9a8cfc7483a3d27342722329e6e209

Aliases

arxiv: 1212.5417 · arxiv_version: 1212.5417v1 · doi: 10.48550/arxiv.1212.5417 · pith_short_12: 4MTIR7INT77Y · pith_short_16: 4MTIR7INT77YTWQE · pith_short_8: 4MTIR7IN

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/4MTIR7INT77YTWQEYSQN5BGDNC \
  | 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: e32688fd0d9fff89da04c4a0de84c3688b9a8cfc7483a3d27342722329e6e209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf7d34624de74a27e4ac58bac9e4464349c70a76a2659dd4f5144fcd2a33557",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2012-12-21T12:35:51Z",
    "title_canon_sha256": "92d7e9d16dba9ba84c88e828b40893ce024497c67e8ef30a995a090af1e9b8bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5417",
    "kind": "arxiv",
    "version": 1
  }
}