Pith Number

pith:J6BDK54G

pith:2016:J6BDK54GGW2WFSOIOIUFGXTTTF

not attested not anchored not stored refs pending

Parametrized higher category theory and higher algebra: Expos\'e IV -- Stability with respect to an orbital $\infty$-category

Denis Nardin

arxiv:1608.07704 v4 · 2016-08-27 · math.AT · math.AG · 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{J6BDK54GGW2WFSOIOIUFGXTTTF}

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

Recollements and stratification

Receipt and verification

First computed	2026-05-18T01:00:52.551774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f8235778635b562c9c87228535e739967f2c127a6dc98dd68073fbb6580b53a

Aliases

arxiv: 1608.07704 · arxiv_version: 1608.07704v4 · doi: 10.48550/arxiv.1608.07704 · pith_short_12: J6BDK54GGW2W · pith_short_16: J6BDK54GGW2WFSOI · pith_short_8: J6BDK54G

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/J6BDK54GGW2WFSOIOIUFGXTTTF \
  | 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: 4f8235778635b562c9c87228535e739967f2c127a6dc98dd68073fbb6580b53a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f557ca8fffabad450911324d73412e1fd7c1b41e356e82cb2c79bc99c4897d0",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-08-27T13:00:09Z",
    "title_canon_sha256": "2436deb4ee522502457602009a875214b1aa72271d7ac238e4e461937fd80244"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07704",
    "kind": "arxiv",
    "version": 4
  }
}