Pith Number

pith:L3BXI5PB

pith:2001:L3BXI5PBTLAFKLL574AT4RPLQE

not attested not anchored not stored refs pending

Maximal index automorphisms of free groups with no attracting fixed points on the boundary are Dehn twists

Armando Martino

arxiv:math/0101130 v2 · 2001-01-16 · 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{L3BXI5PBTLAFKLL574AT4RPLQE}

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	2026-05-18T02:41:33.348878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ec37475e19ac0552d7dff013e45eb811b0654077dc6dc016ab33118efc42802

Aliases

arxiv: math/0101130 · arxiv_version: math/0101130v2 · doi: 10.48550/arxiv.math/0101130 · pith_short_12: L3BXI5PBTLAF · pith_short_16: L3BXI5PBTLAFKLL5 · pith_short_8: L3BXI5PB

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/L3BXI5PBTLAFKLL574AT4RPLQE \
  | 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: 5ec37475e19ac0552d7dff013e45eb811b0654077dc6dc016ab33118efc42802

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d307437b48139185dd656c2921e3e7e1938c237a5ec5c7469a9b0e756b2147ff",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2001-01-16T12:34:14Z",
    "title_canon_sha256": "4abe9d933a2ef20fc439b0648fcee3fda55b41def0abd30ac7c28978166e38fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0101130",
    "kind": "arxiv",
    "version": 2
  }
}