Pith Number

pith:L7HERNHO

pith:2011:L7HERNHOEKLGMT6K5TMIX5C5ND

not attested not anchored not stored refs pending

Invariant laminations for irreducible automorphisms of free groups

Ilya Kapovich, Martin Lustig

arxiv:1104.1265 v4 · 2011-04-07 · 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{L7HERNHOEKLGMT6K5TMIX5C5ND}

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	2026-05-18T03:07:41.522628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fce48b4ee2296664fcaecd88bf45d68cb24c661071fdb333dd02bfd8c17e11e

Aliases

arxiv: 1104.1265 · arxiv_version: 1104.1265v4 · doi: 10.48550/arxiv.1104.1265 · pith_short_12: L7HERNHOEKLG · pith_short_16: L7HERNHOEKLGMT6K · pith_short_8: L7HERNHO

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/L7HERNHOEKLGMT6K5TMIX5C5ND \
  | 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: 5fce48b4ee2296664fcaecd88bf45d68cb24c661071fdb333dd02bfd8c17e11e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32a055d60bb1a71f09bd57d82f2e28eb324a601da89035d1d1d9cd919d885af1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-04-07T08:07:48Z",
    "title_canon_sha256": "0e6fdaa99dffe9a37698e8cbbecdf32ca613282745ef2b83e9241b217bb4b685"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1265",
    "kind": "arxiv",
    "version": 4
  }
}