Pith Number

pith:WKLJEQVA

pith:2009:WKLJEQVA7U5MWCIWLKPASJXOIO

not attested not anchored not stored refs pending

On dynamics of Out(F_n) on PSL(2,C) characters

Yair N. Minsky

arxiv:0906.3491 v2 · 2009-06-18 · math.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKLJEQVA7U5MWCIWLKPASJXOIO}

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	2026-05-18T04:39:39.198247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2969242a0fd3acb09165a9e0926ee4393f2961c1bc9bb5ef23673c806231c61

Aliases

arxiv: 0906.3491 · arxiv_version: 0906.3491v2 · doi: 10.48550/arxiv.0906.3491 · pith_short_12: WKLJEQVA7U5M · pith_short_16: WKLJEQVA7U5MWCIW · pith_short_8: WKLJEQVA

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/WKLJEQVA7U5MWCIWLKPASJXOIO \
  | 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: b2969242a0fd3acb09165a9e0926ee4393f2961c1bc9bb5ef23673c806231c61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "860a743861923c63f650aaf6e478755f71c81e1c11a75087c3d5deb41fa10408",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-06-18T17:55:35Z",
    "title_canon_sha256": "950d9ade8ffd96f9fbf1964cd824f56d9bd2ffa0ad31c250fb984a81cf723b7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3491",
    "kind": "arxiv",
    "version": 2
  }
}