Pith Number

pith:4MBJG46Q

pith:2017:4MBJG46QOUOYR5EKXUS55QOMYQ

not attested not anchored not stored refs pending

The homotopy theory of coalgebras over simplicial comonads

Kathryn Hess, Magdalena Kedziorek

arxiv:1707.07104 v4 · 2017-07-22 · 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{4MBJG46QOUOYR5EKXUS55QOMYQ}

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	2026-05-18T00:08:16.028267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3029373d0751d88f48abd25dec1ccc4106370fed10a9367394ebe0505b37e53

Aliases

arxiv: 1707.07104 · arxiv_version: 1707.07104v4 · doi: 10.48550/arxiv.1707.07104 · pith_short_12: 4MBJG46QOUOY · pith_short_16: 4MBJG46QOUOYR5EK · pith_short_8: 4MBJG46Q

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/4MBJG46QOUOYR5EKXUS55QOMYQ \
  | 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: e3029373d0751d88f48abd25dec1ccc4106370fed10a9367394ebe0505b37e53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35dafb00839b3eadb79c9175c627918a64354fa43230cee6d776b931022e0e48",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-07-22T04:34:36Z",
    "title_canon_sha256": "9ee22ae2aea3ec1f882feeb0ee1c0c040df9354cf218031ef45f1fa725938b4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07104",
    "kind": "arxiv",
    "version": 4
  }
}