Pith Number

pith:45M32ELR

pith:2019:45M32ELRCHEONT7P7MIOC3EKEW

not attested not anchored not stored refs pending

Endomorphism operads of functors

Damien Lejay, Gabriel C. Drummond-Cole, Joseph Hirsh

arxiv:1906.09006 v2 · 2019-06-21 · 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{45M32ELRCHEONT7P7MIOC3EKEW}

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	2026-05-17T23:41:36.192703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e759bd117111c8e6cfeffb10e16c8a25a9ce500e4cbedfccf8abf5aadb17a50d

Aliases

arxiv: 1906.09006 · arxiv_version: 1906.09006v2 · doi: 10.48550/arxiv.1906.09006 · pith_short_12: 45M32ELRCHEO · pith_short_16: 45M32ELRCHEONT7P · pith_short_8: 45M32ELR

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/45M32ELRCHEONT7P7MIOC3EKEW \
  | 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: e759bd117111c8e6cfeffb10e16c8a25a9ce500e4cbedfccf8abf5aadb17a50d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f0a01f1aae37e79734191361f4102e3615ba1fa96f0cc81a62dfe2e8d41c6ac",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-06-21T08:31:51Z",
    "title_canon_sha256": "b3d30b1479efb988405d78d5906008ed2981934de9d71c454834f4b725d7a66d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09006",
    "kind": "arxiv",
    "version": 2
  }
}