Pith Number

pith:L3HE4RQI

pith:2015:L3HE4RQIJB75KE62ALGNDECKOQ

not attested not anchored not stored refs pending

Orbit counting in conjugacy classes for free groups acting on trees

George Kenison, Richard Sharp

arxiv:1502.02591 v3 · 2015-02-09 · math.DS · 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{L3HE4RQIJB75KE62ALGNDECKOQ}

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	2026-05-18T01:11:41.416306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ece4e4608487fd513da02ccd1904a742d4f1bb9bb3183fed61e5e422127e007

Aliases

arxiv: 1502.02591 · arxiv_version: 1502.02591v3 · doi: 10.48550/arxiv.1502.02591 · pith_short_12: L3HE4RQIJB75 · pith_short_16: L3HE4RQIJB75KE62 · pith_short_8: L3HE4RQI

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/L3HE4RQIJB75KE62ALGNDECKOQ \
  | 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: 5ece4e4608487fd513da02ccd1904a742d4f1bb9bb3183fed61e5e422127e007

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8e24a9a83fc26623ed3dc85e4c5a56d5385da61ab0b7ca3354e871351bcbfef",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-02-09T18:20:53Z",
    "title_canon_sha256": "7bd88203c9757915007d61dbaae3b4c4eb7ffe2a716446a3d545f00be6bde54e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02591",
    "kind": "arxiv",
    "version": 3
  }
}