Pith Number

pith:J2RE6U5O

pith:2017:J2RE6U5OO67KXZZNCFDXYJYHQ4

not attested not anchored not stored refs pending

Arithmetic universes and classifying toposes

Steven Vickers

arxiv:1701.04611 v1 · 2017-01-17 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J2RE6U5OO67KXZZNCFDXYJYHQ4}

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	2026-05-18T00:52:43.142771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ea24f53ae77beabe72d11477c270787243bda70170e0e98eb4149d59746d80e

Aliases

arxiv: 1701.04611 · arxiv_version: 1701.04611v1 · doi: 10.48550/arxiv.1701.04611 · pith_short_12: J2RE6U5OO67K · pith_short_16: J2RE6U5OO67KXZZN · pith_short_8: J2RE6U5O

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/J2RE6U5OO67KXZZNCFDXYJYHQ4 \
  | 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: 4ea24f53ae77beabe72d11477c270787243bda70170e0e98eb4149d59746d80e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5c19cbf16a2c774aa278f7f75c2ae7d8a0c7167184d6c8aeb5bef763d9b0c90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-01-17T10:48:03Z",
    "title_canon_sha256": "2f05cb212f11f3903646e16eba32916b78cd97f0f47c00b5394c673eac404801"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04611",
    "kind": "arxiv",
    "version": 1
  }
}