Pith Number

pith:62TENIHJ

pith:2015:62TENIHJKJBEDOSBVGGSEQT53T

not attested not anchored not stored refs pending

Minimal generation of transitive permutation groups

Gareth M. Tracey

arxiv:1504.07506 v3 · 2015-04-28 · 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{62TENIHJKJBEDOSBVGGSEQT53T}

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	2026-05-18T00:24:53.543962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6a646a0e9524241ba41a98d22427ddcce8977122fd2f53bbce929d73c83bc82

Aliases

arxiv: 1504.07506 · arxiv_version: 1504.07506v3 · doi: 10.48550/arxiv.1504.07506 · pith_short_12: 62TENIHJKJBE · pith_short_16: 62TENIHJKJBEDOSB · pith_short_8: 62TENIHJ

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/62TENIHJKJBEDOSBVGGSEQT53T \
  | 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: f6a646a0e9524241ba41a98d22427ddcce8977122fd2f53bbce929d73c83bc82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ac6102d2f58ad094803108d16478411784386e3c8564c350add72b867f60778",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-04-28T14:43:51Z",
    "title_canon_sha256": "25152080cd086b773ab5a7b054f223aaff2cbedabeec273f49882fa5a1acdd21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07506",
    "kind": "arxiv",
    "version": 3
  }
}