Pith Number

pith:O7GIC6WA

pith:2025:O7GIC6WAWIN7CDPJYZZGGXR555

not attested not anchored not stored refs pending

On the inclusion $\cO_2 \subset \cQ_2$

Jacopo Bassi, Roberto Conti

arxiv:2505.16759 v1 · 2025-05-22 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7GIC6WAWIN7CDPJYZZGGXR555}

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	2026-07-05T11:07:40.567415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77cc817ac0b21bf10de9c672635e3def68057dc500abea3f4c8013d952544699

Aliases

arxiv: 2505.16759 · arxiv_version: 2505.16759v1 · doi: 10.48550/arxiv.2505.16759 · pith_short_12: O7GIC6WAWIN7 · pith_short_16: O7GIC6WAWIN7CDPJ · pith_short_8: O7GIC6WA

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/O7GIC6WAWIN7CDPJYZZGGXR555 \
  | 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: 77cc817ac0b21bf10de9c672635e3def68057dc500abea3f4c8013d952544699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e5e5db71b3add553f2db5bfeca491684754c61ed2850381f0ea41f01e1409b6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-05-22T15:04:07Z",
    "title_canon_sha256": "347d1c83fad71ec40586cf3f0f72eda74254164ddd3ce931d027c47fc7ba4225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.16759",
    "kind": "arxiv",
    "version": 1
  }
}