Pith Number

pith:O3XE4TXD

pith:2025:O3XE4TXD2J3USUQ7NIIXARQPM3

not attested not anchored not stored refs pending

Ping-pong dynamics of hyperbolic-like actions with non-simple points

KyeongRo Kim, Michele Triestino

arxiv:2506.01690 v1 · 2025-06-02 · math.GT · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O3XE4TXD2J3USUQ7NIIXARQPM3}

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	2026-07-05T11:14:17.939005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76ee4e4ee3d27749521f6a1170460f66eb4857737aae0882bc509180fe67e2e0

Aliases

arxiv: 2506.01690 · arxiv_version: 2506.01690v1 · doi: 10.48550/arxiv.2506.01690 · pith_short_12: O3XE4TXD2J3U · pith_short_16: O3XE4TXD2J3USUQ7 · pith_short_8: O3XE4TXD

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/O3XE4TXD2J3USUQ7NIIXARQPM3 \
  | 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: 76ee4e4ee3d27749521f6a1170460f66eb4857737aae0882bc509180fe67e2e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afa12abb8744e85d93a119b3bb3568bdf266ab4cb6046f667218da87bc6c3a5d",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-06-02T13:52:23Z",
    "title_canon_sha256": "ad02cc18131d14f1c0ad9fd10c04d3fe9938ca44b6a348d13d6f490e218ee315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01690",
    "kind": "arxiv",
    "version": 1
  }
}