Pith Number

pith:JQGDJ4FU

pith:2016:JQGDJ4FUSAHJKU4UWI5J2UTC6L

not attested not anchored not stored refs pending

Epireflective subcategories and formal closure operators

Marino Gran, Mathieu Duckerts-Antoine, Zurab Janelidze

arxiv:1605.08627 v3 · 2016-05-27 · 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{JQGDJ4FUSAHJKU4UWI5J2UTC6L}

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	2026-05-18T00:46:08.198070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c0c34f0b4900e955394b23a9d5262f2ec78e0eadb0efedaa673a96db3ab8bef

Aliases

arxiv: 1605.08627 · arxiv_version: 1605.08627v3 · doi: 10.48550/arxiv.1605.08627 · pith_short_12: JQGDJ4FUSAHJ · pith_short_16: JQGDJ4FUSAHJKU4U · pith_short_8: JQGDJ4FU

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/JQGDJ4FUSAHJKU4UWI5J2UTC6L \
  | 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: 4c0c34f0b4900e955394b23a9d5262f2ec78e0eadb0efedaa673a96db3ab8bef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31e331ab409ecaa9d879a35d08e97210390be772be9c3ebbd90338aeee45fdf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-05-27T13:20:01Z",
    "title_canon_sha256": "315c19a11cff0c4d5299ee9fb7f30dc4bf66bf51db83cc77051a7289f0a3884c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08627",
    "kind": "arxiv",
    "version": 3
  }
}