Pith Number

pith:UJF7WUAN

pith:2014:UJF7WUANS7H2L26NAKJU5KN3OU

not attested not anchored not stored refs pending

Automorphisms of graphs of cyclic splittings of free groups

Camille Horbez, Richard D. Wade

arxiv:1406.6711 v2 · 2014-06-25 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJF7WUANS7H2L26NAKJU5KN3OU}

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	2026-05-18T02:27:32.379569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a24bfb500d97cfa5ebcd02934ea9bb752a6036f830e45fdf538ba89c71db18e4

Aliases

arxiv: 1406.6711 · arxiv_version: 1406.6711v2 · doi: 10.48550/arxiv.1406.6711 · pith_short_12: UJF7WUANS7H2 · pith_short_16: UJF7WUANS7H2L26N · pith_short_8: UJF7WUAN

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/UJF7WUANS7H2L26NAKJU5KN3OU \
  | 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: a24bfb500d97cfa5ebcd02934ea9bb752a6036f830e45fdf538ba89c71db18e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12b8fecf2931c3a277a9f5a6f6c3db4fba5db55e364d03a53ca0f81ff9529ef5",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-06-25T20:31:23Z",
    "title_canon_sha256": "c63422863cac8d455989a8e1567ca38a0018090eecb987f5910bdb488e91e6a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6711",
    "kind": "arxiv",
    "version": 2
  }
}