Pith Number

pith:BSBWRC57

pith:2016:BSBWRC57BJSTPGN6G575ZHIHK3

not attested not anchored not stored refs pending

Permutation groups, pattern involvement, and Galois connections

Erkko Lehtonen, Reinhard P\"oschel

arxiv:1605.04516 v2 · 2016-05-15 · math.CO · 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{BSBWRC57BJSTPGN6G575ZHIHK3}

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	2026-05-18T00:21:57.290098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c83688bbf0a653799be377fdc9d0756d8b36d4412846f38254c4a44435ee132

Aliases

arxiv: 1605.04516 · arxiv_version: 1605.04516v2 · doi: 10.48550/arxiv.1605.04516 · pith_short_12: BSBWRC57BJST · pith_short_16: BSBWRC57BJSTPGN6 · pith_short_8: BSBWRC57

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/BSBWRC57BJSTPGN6G575ZHIHK3 \
  | 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: 0c83688bbf0a653799be377fdc9d0756d8b36d4412846f38254c4a44435ee132

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fee4217fe2c191c4e4b656677a33575ec2f01123bd9fccf25773be837dd041a1",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-15T10:08:04Z",
    "title_canon_sha256": "02a3ffa22f8864e9ba10eb2ac263952b18f859fd12c12c74f93d348c70352dcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04516",
    "kind": "arxiv",
    "version": 2
  }
}