Pith Number

pith:DL5IY5RO

pith:2015:DL5IY5ROUOHXKWWRKACRP2LBB7

not attested not anchored not stored refs pending

Free vs. Locally Free Kleinian Groups

Juan Souto, Pekka Pankka

arxiv:1506.00156 v1 · 2015-05-30 · math.GT · 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{DL5IY5ROUOHXKWWRKACRP2LBB7}

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	2026-05-18T01:59:55.345169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1afa8c762ea38f755ad1500517e9610fd8cecef95c92efd3bed8c926553f6de9

Aliases

arxiv: 1506.00156 · arxiv_version: 1506.00156v1 · doi: 10.48550/arxiv.1506.00156 · pith_short_12: DL5IY5ROUOHX · pith_short_16: DL5IY5ROUOHXKWWR · pith_short_8: DL5IY5RO

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/DL5IY5ROUOHXKWWRKACRP2LBB7 \
  | 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: 1afa8c762ea38f755ad1500517e9610fd8cecef95c92efd3bed8c926553f6de9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "924023eef00dc59d975fcc3c1b14457a9fbff4cdb8791df0a1a3a60892355010",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-30T18:53:54Z",
    "title_canon_sha256": "bfdc28d16c70e005f4f7bb180c4c1816eecf88cde5d6c3c2a0c277f11d09fe10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00156",
    "kind": "arxiv",
    "version": 1
  }
}