Pith Number

pith:HKFVWWKP

pith:2014:HKFVWWKPQ6OV4DYQSRQBEHEBUL

not attested not anchored not stored refs pending

The free splitting complex of a free group II: Loxodromic outer automorphisms

Lee Mosher, Michael Handel

arxiv:1402.1886 v2 · 2014-02-08 · 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{HKFVWWKPQ6OV4DYQSRQBEHEBUL}

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	2026-05-18T01:11:51.929576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a8b5b594f879d5e0f109460121c81a2d8e10c083558358a0f9ca6e2eebaddae

Aliases

arxiv: 1402.1886 · arxiv_version: 1402.1886v2 · doi: 10.48550/arxiv.1402.1886 · pith_short_12: HKFVWWKPQ6OV · pith_short_16: HKFVWWKPQ6OV4DYQ · pith_short_8: HKFVWWKP

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/HKFVWWKPQ6OV4DYQSRQBEHEBUL \
  | 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: 3a8b5b594f879d5e0f109460121c81a2d8e10c083558358a0f9ca6e2eebaddae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "296af50d9b60ca2d3023f066735e0b01444442bb815d1476856881473e4dde0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-02-08T20:27:15Z",
    "title_canon_sha256": "d5891fa12de3df4f056d85ccb5df165ff4d03aca336e5d67db01e7f76f70618a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1886",
    "kind": "arxiv",
    "version": 2
  }
}