Pith Number

pith:X4MEAZ64

pith:2013:X4MEAZ64G22AAWXDWCQWM6HSPQ

not attested not anchored not stored refs pending

On the convergence of arithmetic orbifolds

Jean Raimbault

arxiv:1311.5375 v2 · 2013-11-21 · math.GT · 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{X4MEAZ64G22AAWXDWCQWM6HSPQ}

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	2026-05-18T00:23:46.345554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf184067dc36b4005ae3b0a16678f27c3acee291b91517c51ad791317ed5cb9f

Aliases

arxiv: 1311.5375 · arxiv_version: 1311.5375v2 · doi: 10.48550/arxiv.1311.5375 · pith_short_12: X4MEAZ64G22A · pith_short_16: X4MEAZ64G22AAWXD · pith_short_8: X4MEAZ64

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/X4MEAZ64G22AAWXDWCQWM6HSPQ \
  | 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: bf184067dc36b4005ae3b0a16678f27c3acee291b91517c51ad791317ed5cb9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4c04713caef565fb26867fc29ca113c813a4daff4478ec7a90cdf0b6a88fe34",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-11-21T12:16:09Z",
    "title_canon_sha256": "54d4793aaa860d7d5aeca81c0f9428a72f0c7175988e513e5cdc4dfd860eac60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5375",
    "kind": "arxiv",
    "version": 2
  }
}