Pith Number

pith:ON7GGUH7

pith:2012:ON7GGUH7ZZMFZYNEUZSCEXLMT5

not attested not anchored not stored refs pending

Conjugacy growth series and languages in groups

Laura Ciobanu, Susan Hermiller

arxiv:1205.3857 v1 · 2012-05-17 · 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{ON7GGUH7ZZMFZYNEUZSCEXLMT5}

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	2026-05-18T03:55:24.290540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

737e6350ffce585ce1a4a664225d6c9f72efba1f52b59863b10f242b64533484

Aliases

arxiv: 1205.3857 · arxiv_version: 1205.3857v1 · doi: 10.48550/arxiv.1205.3857 · pith_short_12: ON7GGUH7ZZMF · pith_short_16: ON7GGUH7ZZMFZYNE · pith_short_8: ON7GGUH7

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/ON7GGUH7ZZMFZYNEUZSCEXLMT5 \
  | 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: 737e6350ffce585ce1a4a664225d6c9f72efba1f52b59863b10f242b64533484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcd6b677aa551fd3574216dde6dd20396e93c88634dab10392bf30ae0c429b06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-05-17T06:42:29Z",
    "title_canon_sha256": "f1ea751067c4399f192577a436059200a095f059f653850a3df638f26c49e477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3857",
    "kind": "arxiv",
    "version": 1
  }
}