Pith Number

pith:XUZT354X

pith:2016:XUZT354X2WC6IUYS7DQAB55PBG

not attested not anchored not stored refs pending

Stable $\infty$-Operads and the multiplicative Yoneda lemma

Thomas Nikolaus

arxiv:1608.02901 v1 · 2016-08-09 · 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{XUZT354X2WC6IUYS7DQAB55PBG}

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.

Cited by

1 paper in Pith

A homotopy coherent Pontryagin-Thom isomorphism

Receipt and verification

First computed	2026-05-18T01:09:33.386111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd333df797d585e45312f8e000f7af09b9f0df30db4bab409122708b273ccef1

Aliases

arxiv: 1608.02901 · arxiv_version: 1608.02901v1 · doi: 10.48550/arxiv.1608.02901 · pith_short_12: XUZT354X2WC6 · pith_short_16: XUZT354X2WC6IUYS · pith_short_8: XUZT354X

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/XUZT354X2WC6IUYS7DQAB55PBG \
  | 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: bd333df797d585e45312f8e000f7af09b9f0df30db4bab409122708b273ccef1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71ef44469e9f15a82aa4eaaacfc7b96175654dbc8a1bc3087d6ee530525709dc",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-08-09T18:24:16Z",
    "title_canon_sha256": "8eae072df82cff1c96eb9c8be9123e7302e2a093078c1315c6bb486d7d2c93fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02901",
    "kind": "arxiv",
    "version": 1
  }
}