Pith Number

pith:NGW6BO7N

pith:2021:NGW6BO7N3SVBOTQSM2L7AGPM72

not attested not anchored not stored refs pending

Profinite $\infty$-operads

Ieke Moerdijk, Thomas Blom

arxiv:2107.10092 v1 · 2021-07-21 · 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{NGW6BO7N3SVBOTQSM2L7AGPM72}

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	2026-07-05T02:59:42.533498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69ade0bbeddcaa174e126697f019ecfeafc4b4b5f97b2ece2643a1d8b772b309

Aliases

arxiv: 2107.10092 · arxiv_version: 2107.10092v1 · doi: 10.48550/arxiv.2107.10092 · pith_short_12: NGW6BO7N3SVB · pith_short_16: NGW6BO7N3SVBOTQS · pith_short_8: NGW6BO7N

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/NGW6BO7N3SVBOTQSM2L7AGPM72 \
  | 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: 69ade0bbeddcaa174e126697f019ecfeafc4b4b5f97b2ece2643a1d8b772b309

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b4b022bc315f5afc29a0d39629667067d1801b9f858b6da8a07f3fdfb533ed5",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2021-07-21T14:09:41Z",
    "title_canon_sha256": "53d874a4c585db752931fed298ab8e4e71daaa6e108f597df36fea49ff81626d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.10092",
    "kind": "arxiv",
    "version": 1
  }
}