Pith Number

pith:BHUPD6FJ

pith:2011:BHUPD6FJC3TOXJLMFA72EW2WMZ

not attested not anchored not stored refs pending

Free group automorphisms with parabolic boundary orbits

Arnaud Hilion

arxiv:1103.6047 v1 · 2011-03-30 · math.GR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHUPD6FJC3TOXJLMFA72EW2WMZ}

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	2026-05-18T02:41:50.552192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09e8f1f8a916e6eba56c283fa25b566654fe2e392013d3243d799b5f9e1836a9

Aliases

arxiv: 1103.6047 · arxiv_version: 1103.6047v1 · doi: 10.48550/arxiv.1103.6047 · pith_short_12: BHUPD6FJC3TO · pith_short_16: BHUPD6FJC3TOXJLM · pith_short_8: BHUPD6FJ

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/BHUPD6FJC3TOXJLMFA72EW2WMZ \
  | 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: 09e8f1f8a916e6eba56c283fa25b566654fe2e392013d3243d799b5f9e1836a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8c4c8570bbe43fa3fffcd4a15f189d1fb87bbf902a2576465f8db05740dfb05",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-03-30T20:52:41Z",
    "title_canon_sha256": "a792faec8ff866e4c3ff265f8e8c30ed228599550480c3f0d109fe896fa035f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.6047",
    "kind": "arxiv",
    "version": 1
  }
}