Pith Number

pith:L55Z5PJD

pith:2012:L55Z5PJDVESDNXZO23CJIJZ5Y5

not attested not anchored not stored refs pending

Orbit coherence in permutation groups

John R. Britnell, Mark Wildon

arxiv:1205.4960 v2 · 2012-05-22 · 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{L55Z5PJDVESDNXZO23CJIJZ5Y5}

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	2026-05-18T03:54:25.406250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f7b9ebd23a92436df2ed6c494273dc74293e2340d17e7b80aaf004e29481e04

Aliases

arxiv: 1205.4960 · arxiv_version: 1205.4960v2 · doi: 10.48550/arxiv.1205.4960 · pith_short_12: L55Z5PJDVESD · pith_short_16: L55Z5PJDVESDNXZO · pith_short_8: L55Z5PJD

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/L55Z5PJDVESDNXZO23CJIJZ5Y5 \
  | 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: 5f7b9ebd23a92436df2ed6c494273dc74293e2340d17e7b80aaf004e29481e04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eb1961b9793bfd636958c616892345ad4067cab1be2f3193e75143434216b5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-05-22T16:13:34Z",
    "title_canon_sha256": "53c6a8955891b3a324ccd00edf36fef4e42ff7dde2aba18ce9510e74cc2b6db4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4960",
    "kind": "arxiv",
    "version": 2
  }
}