Pith Number

pith:IZU5PSXF

pith:2015:IZU5PSXFJ5V6YZVLZDV5BXSQ23

not attested not anchored not stored refs pending

Operads of Wiring Diagrams

Donald Yau

arxiv:1512.01602 v3 · 2015-12-05 · math.CT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZU5PSXFJ5V6YZVLZDV5BXSQ23}

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	2026-05-18T00:13:08.163616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4669d7cae54f6bec66abc8ebd0de50d6ea2532f017c0db63177dbc408ab8a703

Aliases

arxiv: 1512.01602 · arxiv_version: 1512.01602v3 · doi: 10.48550/arxiv.1512.01602 · pith_short_12: IZU5PSXFJ5V6 · pith_short_16: IZU5PSXFJ5V6YZVL · pith_short_8: IZU5PSXF

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/IZU5PSXFJ5V6YZVLZDV5BXSQ23 \
  | 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: 4669d7cae54f6bec66abc8ebd0de50d6ea2532f017c0db63177dbc408ab8a703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a68eec2be5f89790730418672e1b5cc262ad686573cb3b0316f59c48a93e2356",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-12-05T00:39:34Z",
    "title_canon_sha256": "c90e789a44778a9e37b6701cd93eba1af269e0358e5b99dd5c56732e2764690b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01602",
    "kind": "arxiv",
    "version": 3
  }
}