Pith Number

pith:D4U3KVV7

pith:2006:D4U3KVV74YB6XDB4MWS7KOIS6G

not attested not anchored not stored refs pending

Orbital graphs of infinite primitive permutation groups

Simon M. Smith

arxiv:math/0611758 v2 · 2006-11-24 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4U3KVV74YB6XDB4MWS7KOIS6G}

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	2026-05-18T03:33:14.532339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f29b556bfe603eb8c3c65a5f53912f1a6ddb19d74848649de1f187051e35fa8

Aliases

arxiv: math/0611758 · arxiv_version: math/0611758v2 · doi: 10.48550/arxiv.math/0611758 · pith_short_12: D4U3KVV74YB6 · pith_short_16: D4U3KVV74YB6XDB4 · pith_short_8: D4U3KVV7

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/D4U3KVV74YB6XDB4MWS7KOIS6G \
  | 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: 1f29b556bfe603eb8c3c65a5f53912f1a6ddb19d74848649de1f187051e35fa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "102920ee0957d8b7f6478191b7c0eee453e9d6a79278591b05a841843123225e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2006-11-24T14:29:28Z",
    "title_canon_sha256": "1458a7c83871231a76532944da0f46afe7e0ddcb3a3e71ce4d3314d026125e83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611758",
    "kind": "arxiv",
    "version": 2
  }
}