Pith Number

pith:ZE4FSYJA

pith:2013:ZE4FSYJASOIKVKGUG3G2BFXCDJ

not attested not anchored not stored refs pending

On the coset category of a skew lattice

Joao Pita Costa

arxiv:1307.1567 v6 · 2013-07-05 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZE4FSYJASOIKVKGUG3G2BFXCDJ}

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	2026-05-18T02:48:02.377119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9385961209390aaa8d436cda096e21a761ed84eef8ae95099bc775968784975

Aliases

arxiv: 1307.1567 · arxiv_version: 1307.1567v6 · doi: 10.48550/arxiv.1307.1567 · pith_short_12: ZE4FSYJASOIK · pith_short_16: ZE4FSYJASOIKVKGU · pith_short_8: ZE4FSYJA

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/ZE4FSYJASOIKVKGUG3G2BFXCDJ \
  | 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: c9385961209390aaa8d436cda096e21a761ed84eef8ae95099bc775968784975

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe02177f9efa5756373788d7f98a76ad05c0abe0e63aef55dbb1dab6aaabc49d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-07-05T09:53:34Z",
    "title_canon_sha256": "8d9264de1aa60680adb51ebdb72b2bef850dd9c92255cbc1cee52417106f231f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1567",
    "kind": "arxiv",
    "version": 6
  }
}