Pith Number

pith:EZIROULZ

pith:2012:EZIROULZSXKZUV45DKAPWLQ5ME

not attested not anchored not stored refs pending

Hyperbolic towers and independent generic sets in the theory of free groups

Chlo\'e Perin, Larsen Louder, Rizos Sklinos

arxiv:1208.2858 v1 · 2012-08-14 · math.LO · 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{EZIROULZSXKZUV45DKAPWLQ5ME}

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	2026-05-18T01:21:05.706406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

265117517995d59a579d1a80fb2e1d6137f8582ea213181cf12f4b00843df7ae

Aliases

arxiv: 1208.2858 · arxiv_version: 1208.2858v1 · doi: 10.48550/arxiv.1208.2858 · pith_short_12: EZIROULZSXKZ · pith_short_16: EZIROULZSXKZUV45 · pith_short_8: EZIROULZ

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/EZIROULZSXKZUV45DKAPWLQ5ME \
  | 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: 265117517995d59a579d1a80fb2e1d6137f8582ea213181cf12f4b00843df7ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bf1cb87de55f350c2b4aee84610bca4a8aa60f3eb9231d82d8a0f696143d37e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-08-14T13:30:07Z",
    "title_canon_sha256": "c9319288d382f8f693f4dee21691d97f4fae0346651178daeee1647961f9b90c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2858",
    "kind": "arxiv",
    "version": 1
  }
}