Pith Number

pith:3WC6QPAH

pith:2012:3WC6QPAHCTITTFIDOCHTXFIC3E

not attested not anchored not stored refs pending

Normal subgroups of groups acting on trees and automorphism groups of graphs

Jan Vonk, R\"ognvaldur G. M\"oller

arxiv:1209.3625 v1 · 2012-09-17 · 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{3WC6QPAHCTITTFIDOCHTXFIC3E}

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	2026-05-18T03:45:23.797591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd85e83c0714d1399503708f3b9502d934f499baf2516e3da15433ba22fe034a

Aliases

arxiv: 1209.3625 · arxiv_version: 1209.3625v1 · doi: 10.48550/arxiv.1209.3625 · pith_short_12: 3WC6QPAHCTIT · pith_short_16: 3WC6QPAHCTITTFID · pith_short_8: 3WC6QPAH

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/3WC6QPAHCTITTFIDOCHTXFIC3E \
  | 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: dd85e83c0714d1399503708f3b9502d934f499baf2516e3da15433ba22fe034a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "585f5cf57be595e79de5b714ac516a9aec5385433d71554922edf64ec0bd23e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-09-17T11:03:15Z",
    "title_canon_sha256": "6ce9921c9c5a3837af885796dd627a85cfd28aff309fb90d2f6244d82d2a2b76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3625",
    "kind": "arxiv",
    "version": 1
  }
}