Pith Number

pith:ERLBG5FB

pith:2017:ERLBG5FBM33B3W42LRTF5RC6ZK

not attested not anchored not stored refs pending

Normal form and parabolic dynamics for quadratically growing automorphisms of free groups

Kaidi Ye, Martin Lustig

arxiv:1705.04110 v2 · 2017-05-11 · 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{ERLBG5FBM33B3W42LRTF5RC6ZK}

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	2026-05-18T00:37:52.410783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24561374a166f61ddb9a5c665ec45ecaa3bf879af4c8c2fbf33dd3ac94f5dc4f

Aliases

arxiv: 1705.04110 · arxiv_version: 1705.04110v2 · doi: 10.48550/arxiv.1705.04110 · pith_short_12: ERLBG5FBM33B · pith_short_16: ERLBG5FBM33B3W42 · pith_short_8: ERLBG5FB

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/ERLBG5FBM33B3W42LRTF5RC6ZK \
  | 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: 24561374a166f61ddb9a5c665ec45ecaa3bf879af4c8c2fbf33dd3ac94f5dc4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58ab8eb0d3f22730eefdcfdd294658a3fad46d4b205e51962938ab5e8d8e0656",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-05-11T11:06:52Z",
    "title_canon_sha256": "ce268f00a3af3e5e7a33eac0b11f7cd414b250b425cff6700238990dada2faf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04110",
    "kind": "arxiv",
    "version": 2
  }
}