Pith Number

pith:CIWKQBW7

pith:2018:CIWKQBW7EMRPFBEHG34WAATOI2

not attested not anchored not stored refs pending

Non-integer valued winding numbers and a generalized Residue Theorem

Micha Wasem, Norbert Hungerb\"uhler

arxiv:1808.00997 v2 · 2018-08-02 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIWKQBW7EMRPFBEHG34WAATOI2}

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	2026-05-17T23:51:26.013008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

122ca806df2322f2848736f960026e46973e55cef3b7434521a92c127fdf776a

Aliases

arxiv: 1808.00997 · arxiv_version: 1808.00997v2 · doi: 10.48550/arxiv.1808.00997 · pith_short_12: CIWKQBW7EMRP · pith_short_16: CIWKQBW7EMRPFBEH · pith_short_8: CIWKQBW7

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/CIWKQBW7EMRPFBEHG34WAATOI2 \
  | 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: 122ca806df2322f2848736f960026e46973e55cef3b7434521a92c127fdf776a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b07467dc910828639d409ef1d567691c8083af2c6d7ece1932986d500628938",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-08-02T19:29:29Z",
    "title_canon_sha256": "5805d664c62e102df106e9fd2a5dae30d4dc06557f03e241c74d46e9aa143bd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00997",
    "kind": "arxiv",
    "version": 2
  }
}