Pith Number

pith:FP6IKGNJ

pith:2013:FP6IKGNJCIB3TW3QKWP3BJIVYH

not attested not anchored not stored refs pending

Classification of automorphic conjugacy classes in the free group on two generators

Bobbe Cooper, Eric Rowland

arxiv:1307.8216 v2 · 2013-07-31 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FP6IKGNJCIB3TW3QKWP3BJIVYH}

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	2026-05-18T02:25:26.732964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bfc8519a91203b9db70559fb0a515c1d781aeff0265727b7752a17f13ceb5ab

Aliases

arxiv: 1307.8216 · arxiv_version: 1307.8216v2 · doi: 10.48550/arxiv.1307.8216 · pith_short_12: FP6IKGNJCIB3 · pith_short_16: FP6IKGNJCIB3TW3Q · pith_short_8: FP6IKGNJ

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/FP6IKGNJCIB3TW3QKWP3BJIVYH \
  | 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: 2bfc8519a91203b9db70559fb0a515c1d781aeff0265727b7752a17f13ceb5ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5992352bb755215b698f9fbfb8a163bcf51873c40a0d9b9cec9c5a6a23390359",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-07-31T03:39:22Z",
    "title_canon_sha256": "851f586c004ff5865e146ad42b9397ff2caca1c9e63154607a0ffc886fd334d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8216",
    "kind": "arxiv",
    "version": 2
  }
}