Pith Number

pith:RA5ORWXH

pith:2014:RA5ORWXHY7GJ7PRXA2MXG2CSGC

not attested not anchored not stored refs pending

Relative left properness of colored operads

Donald Yau, Marcy Robertson, Philip Hackney

arxiv:1411.4668 v3 · 2014-11-17 · math.AT · 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{RA5ORWXHY7GJ7PRXA2MXG2CSGC}

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	2026-05-18T00:58:49.158448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

883ae8dae7c7cc9fbe37069973685230b3bf6298fbbec35eac528df8f37dbaaf

Aliases

arxiv: 1411.4668 · arxiv_version: 1411.4668v3 · doi: 10.48550/arxiv.1411.4668 · pith_short_12: RA5ORWXHY7GJ · pith_short_16: RA5ORWXHY7GJ7PRX · pith_short_8: RA5ORWXH

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/RA5ORWXHY7GJ7PRXA2MXG2CSGC \
  | 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: 883ae8dae7c7cc9fbe37069973685230b3bf6298fbbec35eac528df8f37dbaaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caf9c3758be156138b9dc5f7ff444bdfd79c8952bc7f48be1e977ea9ed65bba5",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-11-17T21:19:19Z",
    "title_canon_sha256": "58f96740d3265bca0b26198904e5f253e7e5f1308e1cc131cc6964f24ab4fdd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4668",
    "kind": "arxiv",
    "version": 3
  }
}