Pith Number

pith:H5RA6ZSW

pith:2012:H5RA6ZSW3VZFRTDZHP6BWU7ZPX

not attested not anchored not stored refs pending

Distribution of orbits in $\R^2$ of a finitely generated group of $\SL(2,\R)$

Barbara Schapira (LAMFA), Fran\c{c}ois Maucourant (IRMAR)

arxiv:1204.5158 v1 · 2012-04-23 · 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{H5RA6ZSW3VZFRTDZHP6BWU7ZPX}

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	2026-05-18T03:57:14.599830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f620f6656dd7258cc793bfc1b53f97dd471cd2e823bcd031c465d5a0cae11bb

Aliases

arxiv: 1204.5158 · arxiv_version: 1204.5158v1 · doi: 10.48550/arxiv.1204.5158 · pith_short_12: H5RA6ZSW3VZF · pith_short_16: H5RA6ZSW3VZFRTDZ · pith_short_8: H5RA6ZSW

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/H5RA6ZSW3VZFRTDZHP6BWU7ZPX \
  | 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: 3f620f6656dd7258cc793bfc1b53f97dd471cd2e823bcd031c465d5a0cae11bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "598b7e373ecc8b1752fa42ca164b4c9cf6137ed41384cabf8bd45fcb2009bbf7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-23T19:39:19Z",
    "title_canon_sha256": "85dead75b40ff05bd088a50c1587ce9552f0fef80c70f34f1eacf978a98a7f79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5158",
    "kind": "arxiv",
    "version": 1
  }
}