Pith Number

pith:VR3I6F3P

pith:2014:VR3I6F3PGNK33CDRM22A4TFCMY

not attested not anchored not stored refs pending

Freeness of automata groups vs boundary dynamics

Daniele D'Angeli, Emanuele Rodaro

arxiv:1410.6097 v2 · 2014-10-22 · math.GR · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VR3I6F3PGNK33CDRM22A4TFCMY}

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	2026-05-18T00:57:44.506213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac768f176f3355bd887166b40e4ca2663d11d7b1f420e0f8550dc2af14ea72a4

Aliases

arxiv: 1410.6097 · arxiv_version: 1410.6097v2 · doi: 10.48550/arxiv.1410.6097 · pith_short_12: VR3I6F3PGNK3 · pith_short_16: VR3I6F3PGNK33CDR · pith_short_8: VR3I6F3P

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/VR3I6F3PGNK33CDRM22A4TFCMY \
  | 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: ac768f176f3355bd887166b40e4ca2663d11d7b1f420e0f8550dc2af14ea72a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e37c30a4e88601f541edede2c2123ffe3d6c0feecea5ebb7d61f8dd959f0693e",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-10-22T16:19:14Z",
    "title_canon_sha256": "3a9f1031d82f5d15bd1426bd0c7b56a07b254b4906ad0fb59fb6627899de66f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6097",
    "kind": "arxiv",
    "version": 2
  }
}