Pith Number

pith:PTZLTCGN

pith:2014:PTZLTCGNH2PGPSWWG4ZK4MLM7J

not attested not anchored not stored refs pending

On ampleness and pseudo-Anosov homeomorphisms in the free group

Rizos Sklinos

arxiv:1409.8599 v1 · 2014-09-30 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTZLTCGNH2PGPSWWG4ZK4MLM7J}

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	2026-05-18T02:41:24.143393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cf2b988cd3e9e67cad63732ae316cfa473455cd556a7d703dda7bc798d017bc

Aliases

arxiv: 1409.8599 · arxiv_version: 1409.8599v1 · doi: 10.48550/arxiv.1409.8599 · pith_short_12: PTZLTCGNH2PG · pith_short_16: PTZLTCGNH2PGPSWW · pith_short_8: PTZLTCGN

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/PTZLTCGNH2PGPSWWG4ZK4MLM7J \
  | 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: 7cf2b988cd3e9e67cad63732ae316cfa473455cd556a7d703dda7bc798d017bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99d17060e49da1b65c8b0ead24fe48746cd4b41bf0663302d02699c0ce17541f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-09-30T15:35:17Z",
    "title_canon_sha256": "aff1f7b2192739a8ca1ee02d59cdd410fc56be4d5e1ebe9ec96f4c9e9f72510d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8599",
    "kind": "arxiv",
    "version": 1
  }
}