Pith Number

pith:MG62GR2E

pith:2018:MG62GR2E3HD4VWRQZQWNEJHLIO

not attested not anchored not stored refs pending

Homogeneous Dynamics and Unlikely Intersections

A. Yafaev, R. Richard, T. Zamojski

arxiv:1809.03802 v1 · 2018-09-11 · math.NT · math.AG · 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{MG62GR2E3HD4VWRQZQWNEJHLIO}

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	2026-05-18T00:05:58.067176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61bda34744d9c7cada30cc2cd224eb439c728642b9f2219fe95700604cf2d27f

Aliases

arxiv: 1809.03802 · arxiv_version: 1809.03802v1 · doi: 10.48550/arxiv.1809.03802 · pith_short_12: MG62GR2E3HD4 · pith_short_16: MG62GR2E3HD4VWRQ · pith_short_8: MG62GR2E

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/MG62GR2E3HD4VWRQZQWNEJHLIO \
  | 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: 61bda34744d9c7cada30cc2cd224eb439c728642b9f2219fe95700604cf2d27f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47dabe4efc5a606233dedc8518ad163879bcfd4b0e939cde02526960797719f1",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-11T11:55:11Z",
    "title_canon_sha256": "267f9ef62cec7e5b65cfa464e075cc3e133009c288a778f57d3d3722f446a98b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03802",
    "kind": "arxiv",
    "version": 1
  }
}