Pith Number

pith:CQBWO4LA

pith:2019:CQBWO4LAJCOG7NMZXY6GZTEKYT

not attested not anchored not stored refs pending

So what is class number 2?

Scott T. Chapman

arxiv:1903.04606 v1 · 2019-03-11 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQBWO4LAJCOG7NMZXY6GZTEKYT}

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	2026-05-17T23:51:29.159843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1403677160489c6fb599be3c6ccc8ac4d93ebee41646b444c96f3f302421b299

Aliases

arxiv: 1903.04606 · arxiv_version: 1903.04606v1 · doi: 10.48550/arxiv.1903.04606 · pith_short_12: CQBWO4LAJCOG · pith_short_16: CQBWO4LAJCOG7NMZ · pith_short_8: CQBWO4LA

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/CQBWO4LAJCOG7NMZXY6GZTEKYT \
  | 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: 1403677160489c6fb599be3c6ccc8ac4d93ebee41646b444c96f3f302421b299

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "861088c9d5a616a1a0dba75773319d6f7fe3bc37d5d28e21a61aeab0cc6c9f02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-03-11T21:06:09Z",
    "title_canon_sha256": "48de0a0ad65cb3775ff1763f6c358d861fccc5ef9e5d8af3c181f829e198eceb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04606",
    "kind": "arxiv",
    "version": 1
  }
}