Pith Number

pith:VCCBKG7N

pith:2014:VCCBKG7NWBXDPQHGEAE7B5A73A

not attested not anchored not stored refs pending

On diagonal actions of branch groups and the corresponding characters

Artem Dudko, Rostislav Grigorchuk

arxiv:1412.5476 v2 · 2014-12-17 · math.RT · 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{VCCBKG7NWBXDPQHGEAE7B5A73A}

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	2026-05-18T00:27:33.921530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a884151bedb06e37c0e62009f0f41fd8350103fd6969a7ba73fc2b8d958641fe

Aliases

arxiv: 1412.5476 · arxiv_version: 1412.5476v2 · doi: 10.48550/arxiv.1412.5476 · pith_short_12: VCCBKG7NWBXD · pith_short_16: VCCBKG7NWBXDPQHG · pith_short_8: VCCBKG7N

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/VCCBKG7NWBXDPQHGEAE7B5A73A \
  | 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: a884151bedb06e37c0e62009f0f41fd8350103fd6969a7ba73fc2b8d958641fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93de40d7b4a367da3dce53d038333e43111f152dc3ddf754c46a88e32cf4edd9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-12-17T16:56:30Z",
    "title_canon_sha256": "01b58110dacd755cfd2a8219570643aa213dba9c0999ca7db808d8a4387f9c2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5476",
    "kind": "arxiv",
    "version": 2
  }
}