Pith Number

pith:4XTVJGVD

pith:2019:4XTVJGVDQQXQSKEFBTHFWFPDS2

not attested not anchored not stored refs pending

On the dependent product in toposes

Olivia Caramello, Riccardo Zanfa

arxiv:1908.08488 v1 · 2019-08-22 · 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{4XTVJGVDQQXQSKEFBTHFWFPDS2}

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	2026-07-04T23:59:13.265820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5e7549aa3842f0928850cce5b15e396853089ca7626c8394bf0ffbc68d59872

Aliases

arxiv: 1908.08488 · arxiv_version: 1908.08488v1 · doi: 10.48550/arxiv.1908.08488 · pith_short_12: 4XTVJGVDQQXQ · pith_short_16: 4XTVJGVDQQXQSKEF · pith_short_8: 4XTVJGVD

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/4XTVJGVDQQXQSKEFBTHFWFPDS2 \
  | 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: e5e7549aa3842f0928850cce5b15e396853089ca7626c8394bf0ffbc68d59872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6bfe59ae5f720b4cd4f0a9964544a054d75ca8a684a68576c36bc07c92ca44a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-08-22T16:48:23Z",
    "title_canon_sha256": "97df21f6678e5e802c3c2e0083ccdd403132aae7b2079fcff94af3588d2cfa47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08488",
    "kind": "arxiv",
    "version": 1
  }
}