Pith Number

pith:NILNXNTL

pith:2015:NILNXNTLKK4LSAPKOPK5TNTCRQ

not attested not anchored not stored refs pending

Generating minimally transitive permutation groups

Gareth M. Tracey

arxiv:1506.04256 v1 · 2015-06-13 · 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{NILNXNTLKK4LSAPKOPK5TNTCRQ}

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	2026-05-18T01:49:55.123699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a16dbb66b52b8b901ea73d5d9b6628c0c5389d7b1b818e381b51edc264f6c97

Aliases

arxiv: 1506.04256 · arxiv_version: 1506.04256v1 · doi: 10.48550/arxiv.1506.04256 · pith_short_12: NILNXNTLKK4L · pith_short_16: NILNXNTLKK4LSAPK · pith_short_8: NILNXNTL

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/NILNXNTLKK4LSAPKOPK5TNTCRQ \
  | 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: 6a16dbb66b52b8b901ea73d5d9b6628c0c5389d7b1b818e381b51edc264f6c97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a8b5e854b8906a11ad706356d6c485c9ef1c3b9e9b5d4a81d4eb14f334de3cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-06-13T11:31:37Z",
    "title_canon_sha256": "c82902f93f63d1fac30c39e711f9409fdea690e20dda01aa96cf5aa71b7217e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04256",
    "kind": "arxiv",
    "version": 1
  }
}