Pith Number

pith:3CHGZNGG

pith:2019:3CHGZNGG6DSUV276ZNRTNBMRMV

not attested not anchored not stored refs pending

Controlled objects in left-exact $\infty$-categories and the Novikov conjecture

Christoph Winges, Daniel Kasprowski, Denis-Charles Cisinski, Ulrich Bunke

arxiv:1911.02338 v3 · 2019-11-06 · math.KT · math.AT · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CHGZNGG6DSUV276ZNRTNBMRMV}

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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

Coarse cone quotients

Receipt and verification

First computed	2026-07-05T07:55:17.202756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d88e6cb4c6f0e54aebfecb63368591655385b121207d5c8c05b6f7bc4bdc44e8

Aliases

arxiv: 1911.02338 · arxiv_version: 1911.02338v3 · doi: 10.48550/arxiv.1911.02338 · pith_short_12: 3CHGZNGG6DSU · pith_short_16: 3CHGZNGG6DSUV276 · pith_short_8: 3CHGZNGG

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/3CHGZNGG6DSUV276ZNRTNBMRMV \
  | 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: d88e6cb4c6f0e54aebfecb63368591655385b121207d5c8c05b6f7bc4bdc44e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cc4842a9cbf5cc2852eb3567eb9c0766ec0f3a6deb5b89e463dc7ddcd5972b4",
    "cross_cats_sorted": [
      "math.AT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2019-11-06T12:30:40Z",
    "title_canon_sha256": "08adc7bbfdfefc3cc528a3e960e841cfe0509d32c2f5eecfb3482d60bfe6db01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.02338",
    "kind": "arxiv",
    "version": 3
  }
}