Pith Number

pith:2AJQX4JD

pith:2017:2AJQX4JDVQMWZJI52SA3QWO4A5

not attested not anchored not stored refs pending

On the Zariski topology of $\Omega$-groups

Ruvim Lipyanski

arxiv:1712.03801 v3 · 2017-12-11 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2AJQX4JDVQMWZJI52SA3QWO4A5}

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	2026-05-18T00:23:13.675852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0130bf123ac196ca51dd481b859dc074c45f2c9df4ba9579ff6423f8c37059e

Aliases

arxiv: 1712.03801 · arxiv_version: 1712.03801v3 · doi: 10.48550/arxiv.1712.03801 · pith_short_12: 2AJQX4JDVQMW · pith_short_16: 2AJQX4JDVQMWZJI5 · pith_short_8: 2AJQX4JD

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/2AJQX4JDVQMWZJI52SA3QWO4A5 \
  | 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: d0130bf123ac196ca51dd481b859dc074c45f2c9df4ba9579ff6423f8c37059e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c61f65da136b1ba4312b7ab6c1aec365491b5a2d193b5559372cc9a512707c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-11T14:56:21Z",
    "title_canon_sha256": "494c6fc925f1ff8799f8496857f7b4e5da7f719ef84328ed261ccd44650e8010"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03801",
    "kind": "arxiv",
    "version": 3
  }
}