Pith Number

pith:GPWNP44K

pith:2018:GPWNP44KJQZAFEGYO4PMAI264X

not attested not anchored not stored refs pending

On functorial (co)localization of algebras and modules over operads

Javier J. Guti\'errez, Markus Spitzweck, Oliver R\"ondigs, Paul Arne {\O}stv{\ae}r

arxiv:1812.01715 v1 · 2018-12-04 · math.AT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPWNP44KJQZAFEGYO4PMAI264X}

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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	2026-05-17T23:59:00.811268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33ecd7f38a4c320290d8771ec0235ee5eee603ba03ef586497d724f4c075755d

Aliases

arxiv: 1812.01715 · arxiv_version: 1812.01715v1 · doi: 10.48550/arxiv.1812.01715 · pith_short_12: GPWNP44KJQZA · pith_short_16: GPWNP44KJQZAFEGY · pith_short_8: GPWNP44K

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/GPWNP44KJQZAFEGYO4PMAI264X \
  | 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: 33ecd7f38a4c320290d8771ec0235ee5eee603ba03ef586497d724f4c075755d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6c4103354dd5e7035586e3579e5602f43babff2e270541bbbe507e47b4c7e21",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-12-04T22:03:56Z",
    "title_canon_sha256": "19ab9f36248ebe9019d8656437ffbddb35dc7ea083dacc5387eb86068ccad182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01715",
    "kind": "arxiv",
    "version": 1
  }
}