Pith Number

pith:5QFG6CGG

pith:2025:5QFG6CGGLAZG6ZZUWX2YFEDCJZ

not attested not anchored not stored refs pending

Ping-pong in the projective plane over a nonarchimedean field

Dmitry Kubrak, Konstantinos Tsouvalas, Sami Douba

arxiv:2505.13639 v1 · 2025-05-19 · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QFG6CGGLAZG6ZZUWX2YFEDCJZ}

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	2026-07-05T11:05:48.896864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec0a6f08c658326f6734b5f58290624e578f91b6de9fb480b50448e8e5a8b560

Aliases

arxiv: 2505.13639 · arxiv_version: 2505.13639v1 · doi: 10.48550/arxiv.2505.13639 · pith_short_12: 5QFG6CGGLAZG · pith_short_16: 5QFG6CGGLAZG6ZZU · pith_short_8: 5QFG6CGG

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/5QFG6CGGLAZG6ZZUWX2YFEDCJZ \
  | 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: ec0a6f08c658326f6734b5f58290624e578f91b6de9fb480b50448e8e5a8b560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d9b8f5b9acebf4b3320faf5275d735f1e22bf207f0bdbba92aad87cacdc140c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-05-19T18:24:11Z",
    "title_canon_sha256": "da873a2a86442ce1da5c26cef41fbf7ff5e20a08452815766c2280cc420e54c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.13639",
    "kind": "arxiv",
    "version": 1
  }
}