Pith Number

pith:GLKXVO22

pith:2013:GLKXVO22UI7G2PNCZXRIEC5S3K

not attested not anchored not stored refs pending

A note on strong protomodularity, actions and quotients

Giuseppe Metere

arxiv:1306.3773 v2 · 2013-06-17 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GLKXVO22UI7G2PNCZXRIEC5S3K}

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	2026-05-18T01:18:15.277958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32d57abb5aa23e6d3da2cde2820bb2da98f69d0dc16c6c956ce39e2bc823c9fb

Aliases

arxiv: 1306.3773 · arxiv_version: 1306.3773v2 · doi: 10.48550/arxiv.1306.3773 · pith_short_12: GLKXVO22UI7G · pith_short_16: GLKXVO22UI7G2PNC · pith_short_8: GLKXVO22

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/GLKXVO22UI7G2PNCZXRIEC5S3K \
  | 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: 32d57abb5aa23e6d3da2cde2820bb2da98f69d0dc16c6c956ce39e2bc823c9fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68b88289fe13588fcfc416d0db86b5f5981e439e087454ff4c5e3a61b05ca36f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-06-17T08:48:48Z",
    "title_canon_sha256": "f9e39cde684634b5e310d555e77ac7d9efb92f7741159eb452c33537e8534f8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3773",
    "kind": "arxiv",
    "version": 2
  }
}