Pith Number

pith:VPDTSAJV

pith:2014:VPDTSAJVURPHZZP6WMGT3E54I4

not attested not anchored not stored refs pending

Operads as polynomial 2-monads

Mark Weber

arxiv:1412.7599 v4 · 2014-12-24 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPDTSAJVURPHZZP6WMGT3E54I4}

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	2026-05-18T01:26:50.432411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abc7390135a45e7ce5feb30d3d93bc47247d6ea7b9a5e9e2efac34a1772629a6

Aliases

arxiv: 1412.7599 · arxiv_version: 1412.7599v4 · doi: 10.48550/arxiv.1412.7599 · pith_short_12: VPDTSAJVURPH · pith_short_16: VPDTSAJVURPHZZP6 · pith_short_8: VPDTSAJV

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/VPDTSAJVURPHZZP6WMGT3E54I4 \
  | 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: abc7390135a45e7ce5feb30d3d93bc47247d6ea7b9a5e9e2efac34a1772629a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66a2eb486c635ea2de05d63f8e140cc596e2ea857e3f84119487fd9258c47d0a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-12-24T04:21:38Z",
    "title_canon_sha256": "6169a71e675b1b9c96783e5902cdd4b3d5b308cd4a7c153ab8aa76f44a4baa38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7599",
    "kind": "arxiv",
    "version": 4
  }
}