Pith Number

pith:FFRS4ALH

pith:2013:FFRS4ALHE3F2NIFIRKVKSKXPLQ

not attested not anchored not stored refs pending

Simple groups of automorphisms of trees determined by their actions on finite subtrees

Christopher C. Banks, George A. Willis, Murray Elder

arxiv:1312.2311 v2 · 2013-12-09 · 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{FFRS4ALHE3F2NIFIRKVKSKXPLQ}

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	2026-05-18T02:41:08.810587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29632e016726cba6a0a88aaaa92aef5c2f170621fae3e5c1b9c50826528f125e

Aliases

arxiv: 1312.2311 · arxiv_version: 1312.2311v2 · doi: 10.48550/arxiv.1312.2311 · pith_short_12: FFRS4ALHE3F2 · pith_short_16: FFRS4ALHE3F2NIFI · pith_short_8: FFRS4ALH

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/FFRS4ALHE3F2NIFIRKVKSKXPLQ \
  | 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: 29632e016726cba6a0a88aaaa92aef5c2f170621fae3e5c1b9c50826528f125e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e70424f1261ae3f0a3f65d2bf6609393da8770d0c738bbd3095259f8e66ddbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-09T05:54:28Z",
    "title_canon_sha256": "80c70a5aaf14864e81178357bbd0f6c54d4893eeaf0cb5a90bb7fa4a5a5646aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2311",
    "kind": "arxiv",
    "version": 2
  }
}