Pith Number

pith:WWPVZSZW

pith:2018:WWPVZSZWE6MAOI45UMWCYZTQDO

not attested not anchored not stored refs pending

On Zero-Sector Reducing Operators

Andrzej Piotrowski, David A. Cardon, Evan Sorensen, Jason C. White, Tam\'as Forg\'acs

arxiv:1802.02641 v1 · 2018-02-07 · 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{WWPVZSZWE6MAOI45UMWCYZTQDO}

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	2026-05-18T00:24:03.478855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b59f5ccb36279807239da32c2c66701b8eb87a15dade3fb7893121f94f1d41df

Aliases

arxiv: 1802.02641 · arxiv_version: 1802.02641v1 · doi: 10.48550/arxiv.1802.02641 · pith_short_12: WWPVZSZWE6MA · pith_short_16: WWPVZSZWE6MAOI45 · pith_short_8: WWPVZSZW

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/WWPVZSZWE6MAOI45UMWCYZTQDO \
  | 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: b59f5ccb36279807239da32c2c66701b8eb87a15dade3fb7893121f94f1d41df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48375c5237614b270b36a3a263ba5943ef6d6577401dee49af8fa9a2aff6d8da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-02-07T21:23:47Z",
    "title_canon_sha256": "233d096b4a4e7e6bde0c2036327f8d20cd4f9480043a9cac3a38f1e9fe06fe6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02641",
    "kind": "arxiv",
    "version": 1
  }
}