Pith Number

pith:PSS6HAY6

pith:2014:PSS6HAY6CHVCBSYDM4APZAEAG5

not attested not anchored not stored refs pending

On operads, bimodules and analytic functors

Andr\'e Joyal, Nicola Gambino

arxiv:1405.7270 v2 · 2014-05-28 · 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{PSS6HAY6CHVCBSYDM4APZAEAG5}

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	2026-05-18T00:34:10.738284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ca5e3831e11ea20cb036700fc80803754cb4de19e1ac254886f8ea2feacf3bb

Aliases

arxiv: 1405.7270 · arxiv_version: 1405.7270v2 · doi: 10.48550/arxiv.1405.7270 · pith_short_12: PSS6HAY6CHVC · pith_short_16: PSS6HAY6CHVCBSYD · pith_short_8: PSS6HAY6

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/PSS6HAY6CHVCBSYDM4APZAEAG5 \
  | 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: 7ca5e3831e11ea20cb036700fc80803754cb4de19e1ac254886f8ea2feacf3bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71610e7be05cf433e5479ffa9bfe34c9f251acb6389dffa768067b1ffca04917",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-05-28T15:12:42Z",
    "title_canon_sha256": "b1494f2dd997e7388a65a2295e978a04a104fefcb6a6cd61ac29ca4a3daead8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7270",
    "kind": "arxiv",
    "version": 2
  }
}